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25444274272 = 2517292297043
BaseRepresentation
bin10111101100100110…
…001101000001100000
32102200020220001112121
4113230212031001200
5404102213234042
615404451034024
71560350522434
oct275446150140
972606801477
1025444274272
11a8776a194a
124b2129b914
1325265a9cc1
1413353949c4
159ddbce367
hex5ec98d060

25444274272 has 96 divisors (see below), whose sum is σ = 55116482400. Its totient is φ = 11508768768.

The previous prime is 25444274257. The next prime is 25444274309. The reversal of 25444274272 is 27247244452.

It is a happy number.

It is a super-2 number, since 2×254442742722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 3609183 + ... + 3616225.

It is an arithmetic number, because the mean of its divisors is an integer number (574130025).

Almost surely, 225444274272 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 25444274272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27558241200).

25444274272 is an abundant number, since it is smaller than the sum of its proper divisors (29672208128).

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

25444274272 is a wasteful number, since it uses less digits than its factorization.

25444274272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328 (or 7320 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 43.

The spelling of 25444274272 in words is "twenty-five billion, four hundred forty-four million, two hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 229 232 272 458 464 493 544 916 928 986 1832 1972 3664 3893 3944 6641 7043 7328 7786 7888 13282 14086 15572 15776 26564 28172 31144 53128 56344 62288 106256 112688 112897 119731 124576 204247 212512 225376 225794 239462 408494 451588 478924 816988 903176 957848 1612847 1633976 1806352 1915696 3225694 3267952 3472199 3612704 3831392 6451388 6535904 6944398 12902776 13888796 25805552 27418399 27777592 46772563 51611104 54836798 55555184 93545126 109673596 111110368 187090252 219347192 374180504 438694384 748361008 795133571 877388768 1496722016 1590267142 3180534284 6361068568 12722137136 25444274272