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245022400512 = 2133218232
BaseRepresentation
bin1110010000110001111…
…0010010000000000000
3212102110000212121021200
43210030132102000000
513003301213304022
6304321200221200
723462612016621
oct3441436220000
9772400777250
10245022400512
1194a0583706a
123b5a160a800
131a14aa74256
14bc05701a48
156590d39bac
hex390c792000

245022400512 has 126 divisors (see below), whose sum is σ = 708187760787. Its totient is φ = 81629331456.

The previous prime is 245022400507. The next prime is 245022400541. The reversal of 245022400512 is 215004220542.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

245022400512 is a `hidden beast` number, since 245 + 0 + 2 + 2 + 400 + 5 + 12 = 666.

245022400512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 122511200256 + 122511200256 = 350016^2 + 350016^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=350016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134405233 + ... + 134407055.

Almost surely, 2245022400512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245022400512

245022400512 is an abundant number, since it is smaller than the sum of its proper divisors (463165360275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245022400512 is an frugal number, since it uses more digits than its factorization.

245022400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 245022400512 in words is "two hundred forty-five billion, twenty-two million, four hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1823 2048 2304 3072 3646 4096 4608 5469 6144 7292 8192 9216 10938 12288 14584 16407 18432 21876 24576 29168 32814 36864 43752 58336 65628 73728 87504 116672 131256 175008 233344 262512 350016 466688 525024 700032 933376 1050048 1400064 1866752 2100096 2800128 3323329 3733504 4200192 5600256 6646658 7467008 8400384 9969987 11200512 13293316 14934016 16800768 19939974 22401024 26586632 29909961 33601536 39879948 44802048 53173264 59819922 67203072 79759896 106346528 119639844 134406144 159519792 212693056 239279688 319039584 425386112 478559376 638079168 850772224 957118752 1276158336 1701544448 1914237504 2552316672 3403088896 3828475008 5104633344 6806177792 7656950016 10209266688 13612355584 15313900032 20418533376 27224711168 30627800064 40837066752 61255600128 81674133504 122511200256 245022400512