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5163433632 = 253272561227
BaseRepresentation
bin1001100111100001…
…11011111010100000
3111022211220121100200
410303300323322200
541033314334012
62212210145200
7241645314240
oct46360737240
914284817320
105163433632
11220a695125
121001282200
13643982196
1436da85b20
1520348b3dc
hex133c3bea0

5163433632 has 72 divisors (see below), whose sum is σ = 16781165856. Its totient is φ = 1475266176.

The previous prime is 5163433577. The next prime is 5163433643. The reversal of 5163433632 is 2363343615.

5163433632 is a `hidden beast` number, since 5 + 16 + 3 + 4 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×51634336322 = 53322093744137422848, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 1278598 + ... + 1282629.

It is an arithmetic number, because the mean of its divisors is an integer number (233071748).

Almost surely, 25163433632 is an apocalyptic number.

It is an amenable number.

5163433632 is an abundant number, since it is smaller than the sum of its proper divisors (11617732224).

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

5163433632 is a wasteful number, since it uses less digits than its factorization.

5163433632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561250 (or 2561239 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 5163433632 is about 71857.0360646750. The cubic root of 5163433632 is about 1728.4077291470.

The spelling of 5163433632 in words is "five billion, one hundred sixty-three million, four hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2561227 5122454 7683681 10244908 15367362 17928589 20489816 23051043 30734724 35857178 40979632 46102086 53785767 61469448 71714356 81959264 92204172 107571534 122938896 143428712 161357301 184408344 215143068 245877792 286857424 322714602 368816688 430286136 573714848 645429204 737633376 860572272 1290858408 1721144544 2581716816 5163433632