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25328134728 = 23331316995309
BaseRepresentation
bin10111100101101011…
…001010101001001000
32102101011100120001000
4113211223022221020
5403333000302403
615345141455000
71554440410251
oct274553125110
972334316030
1025328134728
11a818087556
124aaa411460
132508505290
141323ba1b28
159d38dc7a3
hex5e5acaa48

25328134728 has 128 divisors (see below), whose sum is σ = 75826800000. Its totient is φ = 7787218176.

The previous prime is 25328134723. The next prime is 25328134739. The reversal of 25328134728 is 82743182352.

25328134728 is a `hidden beast` number, since 2 + 5 + 3 + 281 + 347 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (25328134723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4768138 + ... + 4773446.

It is an arithmetic number, because the mean of its divisors is an integer number (592396875).

Almost surely, 225328134728 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 25328134728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37913400000).

25328134728 is an abundant number, since it is smaller than the sum of its proper divisors (50498665272).

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

25328134728 is a wasteful number, since it uses less digits than its factorization.

25328134728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7026 counting only the distinct ones).

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

The spelling of 25328134728 in words is "twenty-five billion, three hundred twenty-eight million, one hundred thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1699 2808 3398 5097 5309 6796 10194 10618 13592 15291 15927 20388 21236 22087 30582 31854 40776 42472 44174 45873 47781 61164 63708 66261 69017 88348 91746 95562 122328 127416 132522 138034 143343 176696 183492 191124 198783 207051 265044 276068 286686 366984 382248 397566 414102 530088 552136 573372 596349 621153 795132 828204 1146744 1192698 1242306 1590264 1656408 1863459 2385396 2484612 3726918 4770792 4969224 7453836 9019991 14907672 18039982 27059973 36079964 54119946 72159928 81179919 108239892 117259883 162359838 216479784 234519766 243539757 324719676 351779649 469039532 487079514 649439352 703559298 938079064 974159028 1055338947 1407118596 1948318056 2110677894 2814237192 3166016841 4221355788 6332033682 8442711576 12664067364 25328134728