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10418739984 = 24321929131311
BaseRepresentation
bin10011011010000000…
…10101101100010000
3222220002200211101200
421231000111230100
5132314144134414
64441501431200
7516120554142
oct115500255420
928802624350
1010418739984
11446711a614
12202926b500
13ca0690803
1470ba04c92
1540ea24109
hex26d015b10

10418739984 has 120 divisors (see below), whose sum is σ = 31751241600. Its totient is φ = 3176651520.

The previous prime is 10418739959. The next prime is 10418740043. The reversal of 10418739984 is 48993781401.

It is a self number, because there is not a number n which added to its sum of digits gives 10418739984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13689 + ... + 144999.

It is an arithmetic number, because the mean of its divisors is an integer number (264593680).

Almost surely, 210418739984 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 10418739984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15875620800).

10418739984 is an abundant number, since it is smaller than the sum of its proper divisors (21332501616).

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

10418739984 is a wasteful number, since it uses less digits than its factorization.

10418739984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131373 (or 131364 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10418739984 in words is "ten billion, four hundred eighteen million, seven hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 551 684 696 912 1044 1102 1368 1392 1653 2088 2204 2736 3306 4176 4408 4959 6612 8816 9918 13224 19836 26448 39672 79344 131311 262622 393933 525244 787866 1050488 1181799 1575732 2100976 2363598 2494909 3151464 3808019 4727196 4989818 6302928 7484727 7616038 9454392 9979636 11424057 14969454 15232076 18908784 19959272 22454181 22848114 29938908 30464152 34272171 39918544 44908362 45696228 59877816 60928304 68544342 72352361 89816724 91392456 119755632 137088684 144704722 179633448 182784912 217057083 274177368 289409444 359266896 434114166 548354736 578818888 651171249 868228332 1157637776 1302342498 1736456664 2604684996 3472913328 5209369992 10418739984