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46871938513368 = 23325448071194917
BaseRepresentation
bin10101010100001001110010…
…01111101011100111011000
320010221220122222121102111100
422222010321033223213120
522120422212224411433
6243404400555431400
712605246221453113
oct1252047117534730
9203856588542440
1046871938513368
1113a31306384051
125310119455560
13202000a8180a7
14b8088489757a
155643a7871b13
hex2aa1393eb9d8

46871938513368 has 48 divisors (see below), whose sum is σ = 126945172720080. Its totient is φ = 15623937751104.

The previous prime is 46871938513363. The next prime is 46871938513423. The reversal of 46871938513368 is 86331583917864.

It is a happy number.

46871938513368 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 19 + 38 + 513 + 3 + 68 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46871938513296 and 46871938513305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46871938513363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38628646 + ... + 39823562.

It is an arithmetic number, because the mean of its divisors is an integer number (2644691098335).

Almost surely, 246871938513368 is an apocalyptic number.

It is an amenable number.

46871938513368 is an abundant number, since it is smaller than the sum of its proper divisors (80073234206712).

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

46871938513368 is a wasteful number, since it uses less digits than its factorization.

46871938513368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739736 (or 1739729 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 46871938513368 in words is "forty-six trillion, eight hundred seventy-one billion, nine hundred thirty-eight million, five hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 544807 1089614 1194917 1634421 2179228 2389834 3268842 3584751 4358456 4779668 4903263 6537684 7169502 9559336 9806526 10754253 13075368 14339004 19613052 21508506 28678008 39226104 43017012 86034024 650999146019 1301998292038 1952997438057 2603996584076 3905994876114 5207993168152 5858992314171 7811989752228 11717984628342 15623979504456 23435969256684 46871938513368