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48323113416 = 2332671154353
BaseRepresentation
bin101101000000010010…
…000011000111001000
311121201201110111200100
4231000102003013020
51242431204112131
634111020005400
73330330454404
oct550022030710
9147651414610
1048323113416
1119548157376
129447390860
134731526a46
1424a5b44104
1513cc5597e6
hexb404831c8

48323113416 has 24 divisors (see below), whose sum is σ = 130875099030. Its totient is φ = 16107704448.

The previous prime is 48323113381. The next prime is 48323113417. The reversal of 48323113416 is 61431132384.

48323113416 is a `hidden beast` number, since 4 + 8 + 3 + 231 + 1 + 3 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35700590916 + 12622522500 = 188946^2 + 112350^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48323113417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 335577105 + ... + 335577248.

Almost surely, 248323113416 is an apocalyptic number.

It is an amenable number.

48323113416 is an abundant number, since it is smaller than the sum of its proper divisors (82551985614).

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

48323113416 is a wasteful number, since it uses less digits than its factorization.

48323113416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671154365 (or 671154358 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 48323113416 in words is "forty-eight billion, three hundred twenty-three million, one hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 671154353 1342308706 2013463059 2684617412 4026926118 5369234824 6040389177 8053852236 12080778354 16107704472 24161556708 48323113416