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45977911632 = 2433106430351
BaseRepresentation
bin101010110100011111…
…110100000101010000
311101200021112220122000
4222310133310011100
51223130321133012
633042202114000
73215242541412
oct526437640520
9141607486560
1045977911632
1118554372584
128ab1aab900
1344496b6493
1423224aa9b2
1512e1709ddc
hexab47f4150

45977911632 has 40 divisors (see below), whose sum is σ = 131973636480. Its totient is φ = 15325970400.

The previous prime is 45977911621. The next prime is 45977911643. The reversal of 45977911632 is 23611977954.

45977911632 is a `hidden beast` number, since 4 + 597 + 7 + 9 + 1 + 16 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (45977911621) and next prime (45977911643).

It is a super-2 number, since 2×459779116322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 53214744 + ... + 53215607.

It is an arithmetic number, because the mean of its divisors is an integer number (3299340912).

Almost surely, 245977911632 is an apocalyptic number.

It is an amenable number.

45977911632 is an abundant number, since it is smaller than the sum of its proper divisors (85995724848).

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

45977911632 is a wasteful number, since it uses less digits than its factorization.

45977911632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106430368 (or 106430356 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 45977911632 in words is "forty-five billion, nine hundred seventy-seven million, nine hundred eleven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 106430351 212860702 319291053 425721404 638582106 851442808 957873159 1277164212 1702885616 1915746318 2554328424 2873619477 3831492636 5108656848 5747238954 7662985272 11494477908 15325970544 22988955816 45977911632