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46030540401 = 32131102138239
BaseRepresentation
bin101010110111101000…
…100100111001110001
311101210221120201201200
4222313220210321301
51223232304243101
633051322121413
73216452065146
oct526750447161
9141727521650
1046030540401
111858104932a
128b07650269
134457582271
14232948a3cd
1512e6153986
hexab7a24e71

46030540401 has 24 divisors (see below), whose sum is σ = 67063476480. Its totient is φ = 30422152800.

The previous prime is 46030540373. The next prime is 46030540411. The reversal of 46030540401 is 10404503064.

46030540401 is a `hidden beast` number, since 4 + 603 + 0 + 54 + 0 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 46030540401 - 218 = 46030278257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46030540411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184640 + ... + 1222878.

It is an arithmetic number, because the mean of its divisors is an integer number (2794311520).

Almost surely, 246030540401 is an apocalyptic number.

It is an amenable number.

46030540401 is a deficient number, since it is larger than the sum of its proper divisors (21032936079).

46030540401 is a wasteful number, since it uses less digits than its factorization.

46030540401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39397 (or 39394 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 46030540401 in words is "forty-six billion, thirty million, five hundred forty thousand, four hundred one".

Divisors: 1 3 9 131 393 1021 1179 3063 9189 38239 114717 133751 344151 401253 1203759 5009309 15027927 39042019 45083781 117126057 351378171 5114504489 15343513467 46030540401