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68441837760 = 263452640503
BaseRepresentation
bin111111101111011100…
…111001000011000000
320112122211101121010000
4333233130321003000
52110132102302020
651235230040000
74642024010412
oct775734710300
9215584347100
1068441837760
11270316a678a
1211321049000
1365b969ca6a
143453ad29b2
151ba8928090
hexfef7390c0

68441837760 has 140 divisors (see below), whose sum is σ = 243459749808. Its totient is φ = 18251149824.

The previous prime is 68441837749. The next prime is 68441837809. The reversal of 68441837760 is 6773814486.

68441837760 is a `hidden beast` number, since 68 + 441 + 83 + 7 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68441837697 and 68441837706.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1294332 + ... + 1346171.

Almost surely, 268441837760 is an apocalyptic number.

68441837760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68441837760 is an abundant number, since it is smaller than the sum of its proper divisors (175017912048).

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

68441837760 is a wasteful number, since it uses less digits than its factorization.

68441837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640532 (or 2640513 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 68441837760 in words is "sixty-eight billion, four hundred forty-one million, eight hundred thirty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 2640503 5281006 7921509 10562012 13202515 15843018 21124024 23764527 26405030 31686036 39607545 42248048 47529054 52810060 63372072 71293581 79215090 84496096 95058108 105620120 118822635 126744144 142587162 158430180 168992192 190116216 211240240 213880743 237645270 253488288 285174324 316860360 356467905 380232432 422480480 427761486 475290540 506976576 570348648 633720720 712935810 760464864 844960960 855522972 950581080 1069403715 1140697296 1267441440 1425871620 1520929728 1711045944 1901162160 2138807430 2281394592 2534882880 2851743240 3422091888 3802324320 4277614860 4562789184 5703486480 6844183776 7604648640 8555229720 11406972960 13688367552 17110459440 22813945920 34220918880 68441837760