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25488514896 = 243131913116411
BaseRepresentation
bin10111101111001110…
…111101111101010000
32102210100010201021020
4113233032331331100
5404200024434041
615413111155440
71561425542025
oct275716757520
972710121236
1025488514896
11a89a669549
124b34075b80
1325327c9aa0
14133b1cd54c
159e2a1c866
hex5ef3bdf50

25488514896 has 160 divisors (see below), whose sum is σ = 75216852480. Its totient is φ = 7372684800.

The previous prime is 25488514861. The next prime is 25488514937. The reversal of 25488514896 is 69841588452.

It is a super-2 number, since 2×254885148962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544931 + ... + 1561341.

It is an arithmetic number, because the mean of its divisors is an integer number (470105328).

Almost surely, 225488514896 is an apocalyptic number.

25488514896 is a gapful number since it is divisible by the number (26) 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 25488514896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37608426240).

25488514896 is an abundant number, since it is smaller than the sum of its proper divisors (49728337584).

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

25488514896 is a wasteful number, since it uses less digits than its factorization.

25488514896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16585 (or 16579 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 60.

The spelling of 25488514896 in words is "twenty-five billion, four hundred eighty-eight million, five hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 131 152 156 208 228 247 262 304 312 393 456 494 524 624 741 786 912 988 1048 1482 1572 1703 1976 2096 2489 2964 3144 3406 3952 4978 5109 5928 6288 6812 7467 9956 10218 11856 13624 14934 16411 19912 20436 27248 29868 32357 32822 39824 40872 49233 59736 64714 65644 81744 97071 98466 119472 129428 131288 194142 196932 213343 258856 262576 311809 388284 393864 426686 517712 623618 640029 776568 787728 853372 935427 1247236 1280058 1553136 1706744 1870854 2149841 2494472 2560116 3413488 3741708 4053517 4299682 4988944 5120232 6449523 7483416 8107034 8599364 10240464 12160551 12899046 14966832 16214068 17198728 24321102 25798092 27947933 32428136 34397456 40846979 48642204 51596184 55895866 64856272 81693958 83843799 97284408 103192368 111791732 122540937 163387916 167687598 194568816 223583464 245081874 326775832 335375196 447166928 490163748 531010727 653551664 670750392 980327496 1062021454 1341500784 1593032181 1960654992 2124042908 3186064362 4248085816 6372128724 8496171632 12744257448 25488514896