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5709700728 = 2332294396229
BaseRepresentation
bin1010101000101001…
…10001111001111000
3112201220210211221100
411110110301321320
543143140410403
62342322411400
7261330440544
oct52424617170
915656724840
105709700728
11246aa82736
121134200b60
136ccbb6554
143c2442a24
152363e32a3
hex154531e78

5709700728 has 96 divisors (see below), whose sum is σ = 16036020000. Its totient is φ = 1833124608.

The previous prime is 5709700693. The next prime is 5709700741. The reversal of 5709700728 is 8270079075.

5709700728 is a `hidden beast` number, since 570 + 9 + 7 + 0 + 0 + 72 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913518 + ... + 919746.

It is an arithmetic number, because the mean of its divisors is an integer number (167041875).

Almost surely, 25709700728 is an apocalyptic number.

5709700728 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5709700728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018010000).

5709700728 is an abundant number, since it is smaller than the sum of its proper divisors (10326319272).

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

5709700728 is a wasteful number, since it uses less digits than its factorization.

5709700728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 5709700728 is about 75562.5616823570. The cubic root of 5709700728 is about 1787.3287797789.

The spelling of 5709700728 in words is "five billion, seven hundred nine million, seven hundred thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 439 522 696 878 1044 1317 1756 2088 2634 3512 3951 5268 6229 7902 10536 12458 12731 15804 18687 24916 25462 31608 37374 38193 49832 50924 56061 74748 76386 101848 112122 114579 149496 152772 180641 224244 229158 305544 361282 448488 458316 541923 722564 916632 1083846 1445128 1625769 2167692 2734531 3251538 4335384 5469062 6503076 8203593 10938124 13006152 16407186 21876248 24610779 32814372 49221558 65628744 79301399 98443116 158602798 196886232 237904197 317205596 475808394 634411192 713712591 951616788 1427425182 1903233576 2854850364 5709700728