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46811772252 = 22327185761001
BaseRepresentation
bin101011100110001100…
…101111010101011100
311110211101121102100200
4223212030233111130
51231332303203002
633301030423500
73245016333060
oct534614572534
9143741542320
1046811772252
1118942030393
1290a5201b90
13455039362b
1423a112baa0
15133ea1eb1c
hexae632f55c

46811772252 has 36 divisors (see below), whose sum is σ = 135234009456. Its totient is φ = 13374792000.

The previous prime is 46811772251. The next prime is 46811772289. The reversal of 46811772252 is 25227711864.

46811772252 is a `hidden beast` number, since 468 + 117 + 7 + 22 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 46811772198 and 46811772207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46811772251) 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, 92880249 + ... + 92880752.

Almost surely, 246811772252 is an apocalyptic number.

46811772252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46811772252 is an abundant number, since it is smaller than the sum of its proper divisors (88422237204).

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

46811772252 is a wasteful number, since it uses less digits than its factorization.

46811772252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185761018 (or 185761013 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

It can be divided in two parts, 46811772 and 252, that multiplied together give a square (11796566544 = 1086122).

The spelling of 46811772252 in words is "forty-six billion, eight hundred eleven million, seven hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 185761001 371522002 557283003 743044004 1114566006 1300327007 1671849009 2229132012 2600654014 3343698018 3900981021 5201308028 6687396036 7801962042 11702943063 15603924084 23405886126 46811772252