Search a number
-
+
25506139776 = 273132393031
BaseRepresentation
bin10111110000010010…
…001100111010000000
32102211120022011001120
4113300102030322000
5404214032433101
615414541032240
71562031416355
oct276022147200
972746264046
1025506139776
11a8a9607367
124b39b55680
13253635b100
14133d69a62c
159e434eb36
hex5f048ce80

25506139776 has 96 divisors (see below), whose sum is σ = 73363353120. Its totient is φ = 7848023040.

The previous prime is 25506139709. The next prime is 25506139781. The reversal of 25506139776 is 67793160552.

It is a tau number, because it is divible by the number of its divisors (96).

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, 131620 + ... + 261411.

It is an arithmetic number, because the mean of its divisors is an integer number (764201595).

Almost surely, 225506139776 is an apocalyptic number.

25506139776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

25506139776 is an abundant number, since it is smaller than the sum of its proper divisors (47857213344).

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

25506139776 is a wasteful number, since it uses less digits than its factorization.

25506139776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393074 (or 393049 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 25506139776 in words is "twenty-five billion, five hundred six million, one hundred thirty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 21632 32448 64896 393031 786062 1179093 1572124 2358186 3144248 4716372 5109403 6288496 9432744 10218806 12576992 15328209 18865488 20437612 25153984 30656418 37730976 40875224 50307968 61312836 66422239 75461952 81750448 122625672 132844478 150923904 163500896 199266717 245251344 265688956 327001792 398533434 490502688 531377912 654003584 797066868 981005376 1062755824 1594133736 1962010752 2125511648 3188267472 4251023296 6376534944 8502046592 12753069888 25506139776