Search a number
-
+
25452030624 = 25317130311969
BaseRepresentation
bin10111101101000011…
…110010101010100000
32102200210111010020220
4113231003302222200
5404111204434444
615405325203040
71560503455626
oct275503625240
972623433226
1025452030624
11a88100a359
124b23a00480
132528094567
141336413516
159de712619
hex5ed0f2aa0

25452030624 has 96 divisors (see below), whose sum is σ = 70801879680. Its totient is φ = 7978156032.

The previous prime is 25452030619. The next prime is 25452030631. The reversal of 25452030624 is 42603025452.

It is a happy number.

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

It is an unprimeable number.

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, 2120512 + ... + 2132480.

It is an arithmetic number, because the mean of its divisors is an integer number (737519580).

Almost surely, 225452030624 is an apocalyptic number.

25452030624 is a gapful number since it is divisible by the number (24) 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 25452030624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35400939840).

25452030624 is an abundant number, since it is smaller than the sum of its proper divisors (45349849056).

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

25452030624 is a wasteful number, since it uses less digits than its factorization.

25452030624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 25452030624 in words is "twenty-five billion, four hundred fifty-two million, thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1303 1632 2606 3909 5212 7818 10424 11969 15636 20848 22151 23938 31272 35907 41696 44302 47876 62544 66453 71814 88604 95752 125088 132906 143628 177208 191504 203473 265812 287256 354416 383008 406946 531624 574512 610419 708832 813892 1063248 1149024 1220838 1627784 2126496 2441676 3255568 4883352 6511136 9766704 15595607 19533408 31191214 46786821 62382428 93573642 124764856 187147284 249529712 265125319 374294568 499059424 530250638 748589136 795375957 1060501276 1497178272 1590751914 2121002552 3181503828 4242005104 6363007656 8484010208 12726015312 25452030624