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5207764032 = 263212771191
BaseRepresentation
bin1001101100110100…
…00010110001000000
3111102221022211020100
410312122002301000
541131141422112
62220432242400
7243024156342
oct46632026100
914387284210
105207764032
112232713219
1210140a0400
1364cc03aa3
14375905292
152072e62dc
hex136682c40

5207764032 has 84 divisors (see below), whose sum is σ = 15044862976. Its totient is φ = 1722228480.

The previous prime is 5207764027. The next prime is 5207764049. The reversal of 5207764032 is 2304677025.

It is a happy number.

5207764032 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 7 + 640 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37557 + ... + 108747.

Almost surely, 25207764032 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 5207764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522431488).

5207764032 is an abundant number, since it is smaller than the sum of its proper divisors (9837098944).

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

5207764032 is a wasteful number, since it uses less digits than its factorization.

5207764032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71336 (or 71323 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5207764032 is about 72164.8393055787. The cubic root of 5207764032 is about 1733.3400265356.

The spelling of 5207764032 in words is "five billion, two hundred seven million, seven hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 18288 24384 36576 71191 73152 142382 213573 284764 427146 569528 640719 854292 1139056 1281438 1708584 2278112 2562876 3417168 4556224 5125752 6834336 9041257 10251504 13668672 18082514 20503008 27123771 36165028 41006016 54247542 72330056 81371313 108495084 144660112 162742626 216990168 289320224 325485252 433980336 578640448 650970504 867960672 1301941008 1735921344 2603882016 5207764032