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25442862368 = 2571146722111
BaseRepresentation
bin10111101100100000…
…110100010100100000
32102200011020022202212
4113230200310110200
5404101333043433
615404400501252
71560332522210
oct275440642440
972604208685
1025442862368
11a876918090
124b2091a828
132526204461
141335108240
159dda00d48
hex5ec834520

25442862368 has 96 divisors (see below), whose sum is σ = 62587219968. Its totient is φ = 9891129600.

The previous prime is 25442862317. The next prime is 25442862433. The reversal of 25442862368 is 86326824452.

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, 1139633 + ... + 1161743.

It is an arithmetic number, because the mean of its divisors is an integer number (651950208).

Almost surely, 225442862368 is an apocalyptic number.

25442862368 is a gapful number since it is divisible by the number (28) 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 25442862368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31293609984).

25442862368 is an abundant number, since it is smaller than the sum of its proper divisors (37144357600).

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

25442862368 is a wasteful number, since it uses less digits than its factorization.

25442862368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22606 (or 22598 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 50.

The spelling of 25442862368 in words is "twenty-five billion, four hundred forty-two million, eight hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 467 616 934 1232 1868 2464 3269 3736 5137 6538 7472 10274 13076 14944 20548 22111 26152 35959 41096 44222 52304 71918 82192 88444 104608 143836 154777 164384 176888 243221 287672 309554 353776 486442 575344 619108 707552 972884 1150688 1238216 1702547 1945768 2476432 3405094 3891536 4952864 6810188 7783072 10325837 13620376 20651674 27240752 41303348 54481504 72280859 82606696 113584207 144561718 165213392 227168414 289123436 330426784 454336828 578246872 795089449 908673656 1156493744 1590178898 1817347312 2312987488 3180357796 3634694624 6360715592 12721431184 25442862368