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5162484672 = 263321114159
BaseRepresentation
bin1001100111011010…
…10100001111000000
3111022210010101122000
410303231110033000
541033044002142
62212133544000
7241634252502
oct46355241700
914283111560
105162484672
11220a0a7164
121000aa5000
1364370c277
1436d8b9d72
1520335014c
hex133b543c0

5162484672 has 112 divisors (see below), whose sum is σ = 15249753600. Its totient is φ = 1712551680.

The previous prime is 5162484643. The next prime is 5162484683. The reversal of 5162484672 is 2764842615.

5162484672 is a `hidden beast` number, since 5 + 162 + 484 + 6 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357529 + ... + 371687.

Almost surely, 25162484672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5162484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624876800).

5162484672 is an abundant number, since it is smaller than the sum of its proper divisors (10087268928).

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

5162484672 is a wasteful number, since it uses less digits than its factorization.

5162484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14391 (or 14375 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5162484672 is about 71850.4326500544. The cubic root of 5162484672 is about 1728.3018377056.

The spelling of 5162484672 in words is "five billion, one hundred sixty-two million, four hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 211 216 288 422 432 576 633 844 864 1266 1688 1728 1899 2532 3376 3798 5064 5697 6752 7596 10128 11394 13504 14159 15192 20256 22788 28318 30384 40512 42477 45576 56636 60768 84954 91152 113272 121536 127431 169908 182304 226544 254862 339816 364608 382293 453088 509724 679632 764586 906176 1019448 1359264 1529172 2038896 2718528 2987549 3058344 4077792 5975098 6116688 8155584 8962647 11950196 12233376 17925294 23900392 24466752 26887941 35850588 47800784 53775882 71701176 80663823 95601568 107551764 143402352 161327646 191203136 215103528 286804704 322655292 430207056 573609408 645310584 860414112 1290621168 1720828224 2581242336 5162484672