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25104501136 = 241121322772
BaseRepresentation
bin10111011000010110…
…000100100110010000
32101210120112210102101
4113120112010212100
5402403223014021
615311032330144
71546053511261
oct273026044620
971716483371
1025104501136
11a712922300
124a47543954
1324a1094a00
1413021ca968
159bde65a91
hex5d8584990

25104501136 has 135 divisors (see below), whose sum is σ = 58102474563. Its totient is φ = 10495330560.

The previous prime is 25104501131. The next prime is 25104501161. The reversal of 25104501136 is 63110540152.

The square root of 25104501136 is 158444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11611355536 + 13493145600 = 107756^2 + 116160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25104501131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90629830 + ... + 90630106.

Almost surely, 225104501136 is an apocalyptic number.

25104501136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

25104501136 is the 158444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25104501136

25104501136 is an abundant number, since it is smaller than the sum of its proper divisors (32997973427).

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

25104501136 is a wasteful number, since it uses less digits than its factorization.

25104501136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Multiplying 25104501136 by its product of nonzero digits (3600), we get a square (90376204089600 = 95066402).

The spelling of 25104501136 in words is "twenty-five billion, one hundred four million, five hundred one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 208 242 277 286 338 484 554 572 676 968 1108 1144 1352 1573 1859 1936 2216 2288 2704 3047 3146 3601 3718 4432 6094 6292 7202 7436 12188 12584 14404 14872 20449 24376 25168 28808 29744 33517 39611 40898 46813 48752 57616 67034 76729 79222 81796 93626 134068 153458 158444 163592 187252 268136 306916 316888 327184 374504 435721 514943 536272 613832 633776 749008 844019 871442 997477 1029886 1227664 1688038 1742884 1994954 2059772 3376076 3485768 3989908 4119544 5664373 6752152 6971536 7979816 8239088 9284209 10972247 11328746 12967201 13504304 15959632 18568418 21944494 22657492 25934402 37136836 43888988 45314984 51868804 74273672 87777976 90629968 103737608 120694717 142639211 148547344 175555952 207475216 241389434 285278422 482778868 570556844 965557736 1141113688 1569031321 1931115472 2282227376 3138062642 6276125284 12552250568 25104501136