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46748616096 = 25371326320347
BaseRepresentation
bin101011100010011011…
…110100010110100000
311110122222202202101210
4223202123310112200
51231220121203341
633250453030120
73243321452250
oct534233642640
9143588682353
1046748616096
111890a414216
129088025340
13454027cc20
1423969ab960
1513391e6c16
hexae26f45a0

46748616096 has 192 divisors, whose sum is σ = 151615715328. Its totient is φ = 12281822208.

The previous prime is 46748616091. The next prime is 46748616097. The reversal of 46748616096 is 69061684764.

It is not an unprimeable number, because it can be changed into a prime (46748616091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287395 + ... + 2307741.

It is an arithmetic number, because the mean of its divisors is an integer number (789665184).

Almost surely, 246748616096 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 46748616096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75807857664).

46748616096 is an abundant number, since it is smaller than the sum of its proper divisors (104867099232).

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

46748616096 is a wasteful number, since it uses less digits than its factorization.

46748616096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20643 (or 20635 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 46748616096 in words is "forty-six billion, seven hundred forty-eight million, six hundred sixteen thousand, ninety-six".