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25972001376 = 253312436547
BaseRepresentation
bin11000001100000011…
…010100101001100000
32111001000220101000220
4120030003110221200
5411142313021001
615533102043040
71606416240426
oct301403245140
974030811026
1025972001376
1110018577052
125049b79480
1325aba1c669
1413854c7116
15a201c2c36
hex60c0d4a60

25972001376 has 144 divisors (see below), whose sum is σ = 72095994432. Its totient is φ = 8181976320.

The previous prime is 25972001339. The next prime is 25972001383. The reversal of 25972001376 is 67310027952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3963735 + ... + 3970281.

It is an arithmetic number, because the mean of its divisors is an integer number (500666628).

Almost surely, 225972001376 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 25972001376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36047997216).

25972001376 is an abundant number, since it is smaller than the sum of its proper divisors (46123993056).

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

25972001376 is a wasteful number, since it uses less digits than its factorization.

25972001376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 25972001376 in words is "twenty-five billion, nine hundred seventy-two million, one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 86 93 96 124 129 172 186 248 258 344 372 496 516 688 744 961 992 1032 1333 1376 1488 1922 2064 2666 2883 2976 3844 3999 4128 5332 5766 6547 7688 7998 10664 11532 13094 15376 15996 19641 21328 23064 26188 30752 31992 39282 41323 42656 46128 52376 63984 78564 82646 92256 104752 123969 127968 157128 165292 202957 209504 247938 281521 314256 330584 405914 495876 563042 608871 628512 661168 811828 844563 991752 1126084 1217742 1322336 1623656 1689126 1983504 2252168 2435484 3247312 3378252 3967008 4504336 4870968 6291667 6494624 6756504 8727151 9008672 9741936 12583334 13513008 17454302 18875001 19483872 25166668 26181453 27026016 34908604 37750002 50333336 52362906 69817208 75500004 100666672 104725812 139634416 151000008 201333344 209451624 270541681 279268832 302000016 418903248 541083362 604000032 811625043 837806496 1082166724 1623250086 2164333448 3246500172 4328666896 6493000344 8657333792 12986000688 25972001376