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2265487531264 = 28193131148311
BaseRepresentation
bin100000111101111001100…
…101000101110100000000
322000120121201110210221101
4200331321211011310000
5244104204302000024
64452430044104144
7322450615200136
oct40757145056400
98016551423841
102265487531264
117a3873717551
12307097235054
13135833179c39
147b916153756
153dde580ec44
hex20f79945d00

2265487531264 has 144 divisors (see below), whose sum is σ = 4929586421760. Its totient is φ = 1035148032000.

The previous prime is 2265487531261. The next prime is 2265487531273. The reversal of 2265487531264 is 4621357845622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265487531261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46869669 + ... + 46917979.

It is an arithmetic number, because the mean of its divisors is an integer number (34233239040).

Almost surely, 22265487531264 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 2265487531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464793210880).

2265487531264 is an abundant number, since it is smaller than the sum of its proper divisors (2664098890496).

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

2265487531264 is a wasteful number, since it uses less digits than its factorization.

2265487531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48688 (or 48674 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 55.

The spelling of 2265487531264 in words is "two trillion, two hundred sixty-five billion, four hundred eighty-seven million, five hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 311 496 589 608 622 992 1178 1216 1244 1984 2356 2432 2488 3968 4712 4864 4976 5909 7936 9424 9641 9952 11818 18848 19282 19904 23636 37696 38564 39808 47272 48311 75392 77128 79616 94544 96622 150784 154256 183179 189088 193244 308512 366358 378176 386488 617024 732716 756352 772976 917909 1234048 1465432 1497641 1512704 1545952 1835818 2468096 2930864 2995282 3091904 3671636 5861728 5990564 6183808 7343272 11723456 11981128 12367616 14686544 15024721 23446912 23962256 28455179 29373088 30049442 46893824 47924512 56910358 58746176 60098884 95849024 113820716 117492352 120197768 191698048 227641432 234984704 240395536 285469699 383396096 455282864 465766351 480791072 570939398 910565728 931532702 961582144 1141878796 1821131456 1863065404 1923164288 2283757592 3642262912 3726130808 3846328576 4567515184 7284525824 7452261616 8849560669 9135030368 14904523232 17699121338 18270060736 29809046464 35398242676 36540121472 59618092928 70796485352 73080242944 119236185856 141592970704 283185941408 566371882816 1132743765632 2265487531264