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10343063006880 = 2535145114850481
BaseRepresentation
bin1001011010000010111010…
…0110001010111010100000
31100121210020211210200121020
42112200232212022322200
52323430043112210010
633555312035525440
72115155512652652
oct226405646127240
940553224720536
1010343063006880
1133285174737aa
1211b067aa59880
135a04677b1696
1427a86d5666d2
1512e0a7e76470
hex9682e98aea0

10343063006880 has 96 divisors (see below), whose sum is σ = 32603104594368. Its totient is φ = 2756249088000.

The previous prime is 10343063006849. The next prime is 10343063006897. The reversal of 10343063006880 is 8860036034301.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6728761 + ... + 8121720.

It is an arithmetic number, because the mean of its divisors is an integer number (339615672858).

Almost surely, 210343063006880 is an apocalyptic number.

10343063006880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343063006880 is an abundant number, since it is smaller than the sum of its proper divisors (22260041587488).

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

10343063006880 is a wasteful number, since it uses less digits than its factorization.

10343063006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14851950 (or 14851942 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 10343063006880 in words is "ten trillion, three hundred forty-three billion, sixty-three million, six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1451 2902 4353 5804 7255 8706 11608 14510 17412 21765 23216 29020 34824 43530 46432 58040 69648 87060 116080 139296 174120 232160 348240 696480 14850481 29700962 44551443 59401924 74252405 89102886 118803848 148504810 178205772 222757215 237607696 297009620 356411544 445514430 475215392 594019240 712823088 891028860 1188038480 1425646176 1782057720 2376076960 3564115440 7128230880 21548047931 43096095862 64644143793 86192191724 107740239655 129288287586 172384383448 215480479310 258576575172 323220718965 344768766896 430960958620 517153150344 646441437930 689537533792 861921917240 1034306300688 1292882875860 1723843834480 2068612601376 2585765751720 3447687668960 5171531503440 10343063006880