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25195319952 = 24311611993931
BaseRepresentation
bin10111011101110000…
…100001001010010000
32102000220102212102020
4113131300201022100
5403100000214302
615324035051440
71551235454205
oct273560411220
972026385366
1025195319952
11a75a112880
124a71a40b80
1324b6b4255a
1413102abcac
159c6e04ebc
hex5ddc21290

25195319952 has 160 divisors (see below), whose sum is σ = 72550118400. Its totient is φ = 7470144000.

The previous prime is 25195319923. The next prime is 25195319953. The reversal of 25195319952 is 25991359152.

It is a junction number, because it is equal to n+sod(n) for n = 25195319895 and 25195319904.

It is not an unprimeable number, because it can be changed into a prime (25195319953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6407427 + ... + 6411357.

It is an arithmetic number, because the mean of its divisors is an integer number (453438240).

Almost surely, 225195319952 is an apocalyptic number.

25195319952 is a gapful number since it is divisible by the number (22) 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 25195319952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36275059200).

25195319952 is an abundant number, since it is smaller than the sum of its proper divisors (47354798448).

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

25195319952 is a wasteful number, since it uses less digits than its factorization.

25195319952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4207 counting only the distinct ones).

The product of its digits is 1093500, while the sum is 51.

The spelling of 25195319952 in words is "twenty-five billion, one hundred ninety-five million, three hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 199 244 264 366 398 488 528 597 671 732 796 976 1194 1342 1464 1592 2013 2189 2388 2684 2928 3184 3931 4026 4378 4776 5368 6567 7862 8052 8756 9552 10736 11793 12139 13134 15724 16104 17512 23586 24278 26268 31448 32208 35024 36417 43241 47172 48556 52536 62896 72834 86482 94344 97112 105072 129723 133529 145668 172964 188688 194224 239791 259446 267058 291336 345928 400587 479582 518892 534116 582672 691856 719373 782269 801174 959164 1037784 1068232 1438746 1564538 1602348 1918328 2075568 2136464 2346807 2637701 2877492 3129076 3204696 3836656 4693614 5275402 5754984 6258152 6409392 7913103 8604959 9387228 10550804 11509968 12516304 15826206 17209918 18774456 21101608 25814877 31652412 34419836 37548912 42203216 47718409 51629754 63304824 68839672 95436818 103259508 126609648 137679344 143155227 190873636 206519016 286310454 381747272 413038032 524902499 572620908 763494544 1049804998 1145241816 1574707497 2099609996 2290483632 3149414994 4199219992 6298829988 8398439984 12597659976 25195319952