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5157946728 = 2333112974857
BaseRepresentation
bin1001100110111000…
…00000010101101000
3111022110120211202000
410303130000111220
541030413243403
62211452411000
7241550552364
oct46334002550
914273524660
105157946728
1122075877a0
12bbb476a60
136427b08ac
1436d0582a4
15202c557a3
hex133700568

5157946728 has 128 divisors (see below), whose sum is σ = 16169328000. Its totient is φ = 1509096960.

The previous prime is 5157946723. The next prime is 5157946747. The reversal of 5157946728 is 8276497515.

5157946728 is a `hidden beast` number, since 5 + 1 + 579 + 4 + 67 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5157946721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31476 + ... + 106332.

It is an arithmetic number, because the mean of its divisors is an integer number (126322875).

Almost surely, 25157946728 is an apocalyptic number.

5157946728 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 5157946728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084664000).

5157946728 is an abundant number, since it is smaller than the sum of its proper divisors (11011381272).

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

5157946728 is a wasteful number, since it uses less digits than its factorization.

5157946728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74912 (or 74902 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 5157946728 is about 71818.8466072799. The cubic root of 5157946728 is about 1727.7952834256.

The spelling of 5157946728 in words is "five billion, one hundred fifty-seven million, nine hundred forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 396 522 594 638 696 783 792 957 1044 1188 1276 1566 1914 2088 2376 2552 2871 3132 3828 5742 6264 7656 8613 11484 17226 22968 34452 68904 74857 149714 224571 299428 449142 598856 673713 823427 898284 1347426 1646854 1796568 2021139 2170853 2470281 2694852 3293708 4042278 4341706 4940562 5389704 6512559 6587416 7410843 8084556 8683412 9881124 13025118 14821686 16169112 17366824 19537677 19762248 22232529 23879383 26050236 29643372 39075354 44465058 47758766 52100472 58613031 59286744 71638149 78150708 88930116 95517532 117226062 143276298 156301416 177860232 191035064 214914447 234452124 286552596 429828894 468904248 573105192 644743341 859657788 1289486682 1719315576 2578973364 5157946728