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20225250048 = 283101325997
BaseRepresentation
bin10010110101100001…
…001101001100000000
31221012112101011020010
4102311201031030000
5312410131000143
613142533144520
71314125534403
oct226541151400
957175334203
1020225250048
118639698793
123b0548b140
131ba4262ba3
14d9c19bd3a
157d5911a33
hex4b584d300

20225250048 has 72 divisors (see below), whose sum is σ = 53883870768. Its totient is φ = 6734835712.

The previous prime is 20225250037. The next prime is 20225250119. The reversal of 20225250048 is 84005252202.

It is a junction number, because it is equal to n+sod(n) for n = 20225249997 and 20225250024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764986 + ... + 790982.

It is an arithmetic number, because the mean of its divisors is an integer number (748387094).

Almost surely, 220225250048 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 20225250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26941935384).

20225250048 is an abundant number, since it is smaller than the sum of its proper divisors (33658620720).

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

20225250048 is a wasteful number, since it uses less digits than its factorization.

20225250048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27029 (or 27015 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 20225250048 in words is "twenty billion, two hundred twenty-five million, two hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1013 2026 3039 4052 6078 8104 12156 16208 24312 25997 32416 48624 51994 64832 77991 97248 103988 129664 155982 194496 207976 259328 311964 388992 415952 623928 777984 831904 1247856 1663808 2495712 3327616 4991424 6655232 9982848 19965696 26334961 52669922 79004883 105339844 158009766 210679688 316019532 421359376 632039064 842718752 1264078128 1685437504 2528156256 3370875008 5056312512 6741750016 10112625024 20225250048