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25135003424 = 2529414611433
BaseRepresentation
bin10111011010001010…
…011011011100100000
32101212200221110200202
4113122022123130200
5402434030102144
615314042204332
71546604001236
oct273212333440
971780843622
1025135003424
11a729066103
124a557b36a8
1324a74b44bb
14130628a956
159c198d64e
hex5da29b720

25135003424 has 96 divisors (see below), whose sum is σ = 52589885040. Its totient is φ = 11804262400.

The previous prime is 25135003417. The next prime is 25135003427. The reversal of 25135003424 is 42430053152.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8096400400 + 17038603024 = 89980^2 + 130532^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (25135003427) 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 15 ways as a sum of consecutive naturals, for example, 17539412 + ... + 17540844.

Almost surely, 225135003424 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 25135003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26294942520).

25135003424 is an abundant number, since it is smaller than the sum of its proper divisors (27454881616).

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

25135003424 is a wasteful number, since it uses less digits than its factorization.

25135003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 25135003424 its reverse (42430053152), we get a palindrome (67565056576).

The spelling of 25135003424 in words is "twenty-five billion, one hundred thirty-five million, three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 164 232 328 461 464 656 922 928 1189 1312 1433 1844 2378 2866 3688 4756 5732 7376 9512 11464 13369 14752 18901 19024 22928 26738 37802 38048 41557 45856 53476 58753 75604 83114 106952 117506 151208 166228 213904 235012 302416 332456 427808 470024 548129 604832 660613 664912 940048 1096258 1321226 1329824 1703837 1880096 2192516 2642452 3407674 4385032 5284904 6815348 8770064 10569808 13630696 17540128 19157777 21139616 27085133 27261392 38315554 54170266 54522784 76631108 108340532 153262216 216681064 306524432 433362128 613048864 785468857 866724256 1570937714 3141875428 6283750856 12567501712 25135003424