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25939893952 = 267791494919
BaseRepresentation
bin11000001010001000…
…110101111011000000
32110221210111010221001
4120022020311323000
5411111103101302
615525553541344
71605546313660
oct301210657300
973853433831
1025939893952
1110001437295
12503b274854
1325a518a39b
14138112a1a0
15a1c47e787
hex60a235ec0

25939893952 has 112 divisors (see below), whose sum is σ = 59984640000. Its totient is φ = 10900491264.

The previous prime is 25939893937. The next prime is 25939894003.

It is a happy number.

25939893952 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5270949 + ... + 5275867.

Almost surely, 225939893952 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 25939893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29992320000).

25939893952 is an abundant number, since it is smaller than the sum of its proper divisors (34044746048).

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

25939893952 is a wasteful number, since it uses less digits than its factorization.

25939893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5156 counting only the distinct ones).

The product of its digits is 47239200, while the sum is 64.

The spelling of 25939893952 in words is "twenty-five billion, nine hundred thirty-nine million, eight hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 149 158 224 298 316 448 553 596 632 1043 1106 1192 1264 2086 2212 2384 2528 4172 4424 4768 4919 5056 8344 8848 9536 9838 11771 16688 17696 19676 23542 33376 34433 35392 39352 47084 66752 68866 78704 82397 94168 137732 157408 164794 188336 275464 314816 329588 376672 388601 550928 659176 732931 753344 777202 1101856 1318352 1465862 1554404 2203712 2636704 2720207 2931724 3108808 5130517 5273408 5440414 5863448 6217616 10261034 10880828 11726896 12435232 20522068 21761656 23453792 24870464 41044136 43523312 46907584 57901549 82088272 87046624 115803098 164176544 174093248 231606196 328353088 405310843 463212392 810621686 926424784 1621243372 1852849568 3242486744 3705699136 6484973488 12969946976 25939893952