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12893778480 = 24351119257053
BaseRepresentation
bin11000000001000011…
…10111001000110000
31020021120220210221010
430000201313020300
5202401301402410
65531234230520
7634343210622
oct140041671060
936246823833
1012893778480
115517224680
1225ba125440
1312a639042b
148a45d8c12
15506e6dc20
hex300877230

12893778480 has 160 divisors (see below), whose sum is σ = 45899562240. Its totient is φ = 2961239040.

The previous prime is 12893778439. The next prime is 12893778481. The reversal of 12893778480 is 8487739821.

It is a super-2 number, since 2×128937784802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 12893778480.

It is not an unprimeable number, because it can be changed into a prime (12893778481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78367 + ... + 178686.

It is an arithmetic number, because the mean of its divisors is an integer number (286872264).

Almost surely, 212893778480 is an apocalyptic number.

12893778480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12893778480 is an abundant number, since it is smaller than the sum of its proper divisors (33005783760).

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

12893778480 is a wasteful number, since it uses less digits than its factorization.

12893778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257099 (or 257093 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 12893778480 in words is "twelve billion, eight hundred ninety-three million, seven hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 257053 514106 771159 1028212 1285265 1542318 2056424 2570530 2827583 3084636 3855795 4112848 4884007 5141060 5655166 6169272 7711590 8482749 9768014 10282120 11310332 12338544 14137915 14652021 15423180 16965498 19536028 20564240 22620664 24420035 28275830 29304042 30846360 33930996 39072056 42413745 45241328 48840070 53724077 56551660 58608084 61692720 67861992 73260105 78144112 84827490 97680140 107448154 113103320 117216168 135723984 146520210 161172231 169654980 195360280 214896308 226206640 234432336 268620385 293040420 322344462 339309960 390720560 429792616 537240770 586080840 644688924 678619920 805861155 859585232 1074481540 1172161680 1289377848 1611722310 2148963080 2578755696 3223444620 4297926160 6446889240 12893778480