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2116456632 = 233253554627
BaseRepresentation
bin111111000100110…
…1001000010111000
312110111111010200200
41332021221002320
513313303103012
6550003002200
7103306404333
oct17611510270
95414433620
102116456632
11996759214
124b0969360
13279630504
1416113161a
15c5c183dc
hex7e2690b8

2116456632 has 48 divisors (see below), whose sum is σ = 5840232840. Its totient is φ = 692173248.

The previous prime is 2116456513. The next prime is 2116456637. The reversal of 2116456632 is 2366546112.

2116456632 is a `hidden beast` number, since 2 + 1 + 1 + 64 + 566 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116456637) 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, 273498 + ... + 281129.

Almost surely, 22116456632 is an apocalyptic number.

It is an amenable number.

2116456632 is an abundant number, since it is smaller than the sum of its proper divisors (3723776208).

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

2116456632 is a wasteful number, since it uses less digits than its factorization.

2116456632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554692 (or 554685 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2116456632 is about 46004.9631235587. The cubic root of 2116456632 is about 1283.9155474777.

The spelling of 2116456632 in words is "two billion, one hundred sixteen million, four hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 554627 1109254 1663881 2218508 3327762 4437016 4991643 6655524 9983286 13311048 19966572 29395231 39933144 58790462 88185693 117580924 176371386 235161848 264557079 352742772 529114158 705485544 1058228316 2116456632