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68378537141340 = 223519466911284641
BaseRepresentation
bin11111000110000100111100…
…11010101010010001011100
322222002220221211012002202020
433203002132122222101130
532430303221002010330
6401232355531100140
720255120615525016
oct1743023632522134
9288086854162666
1068378537141340
111a8731a1656318
1278042758a1650
132c200b73193ca
1412c577889b1b6
157d8a39036210
hex3e309e6aa45c

68378537141340 has 96 divisors (see below), whose sum is σ = 201541214327040. Its totient is φ = 17274194380800.

The previous prime is 68378537141333. The next prime is 68378537141357. The reversal of 68378537141340 is 4314173587386.

68378537141340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×683785371413402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52585420 + ... + 53870060.

It is an arithmetic number, because the mean of its divisors is an integer number (2099387649240).

Almost surely, 268378537141340 is an apocalyptic number.

68378537141340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68378537141340 is an abundant number, since it is smaller than the sum of its proper divisors (133162677185700).

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

68378537141340 is a wasteful number, since it uses less digits than its factorization.

68378537141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331363 (or 1331361 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 68378537141340 in words is "sixty-eight trillion, three hundred seventy-eight billion, five hundred thirty-seven million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 46691 93382 140073 186764 233455 280146 466910 560292 700365 887129 933820 1284641 1400730 1774258 2569282 2661387 2801460 3548516 3853923 4435645 5138564 5322774 6423205 7707846 8871290 10645548 12846410 13306935 15415692 17742580 19269615 24408179 25692820 26613870 38539230 48816358 53227740 73224537 77078460 97632716 122040895 146449074 244081790 292898148 366122685 488163580 732245370 1464490740 59981172931 119962345862 179943518793 239924691724 299905864655 359887037586 599811729310 719774075172 899717593965 1139642285689 1199623458620 1799435187930 2279284571378 3418926857067 3598870375860 4558569142756 5698211428445 6837853714134 11396422856890 13675707428268 17094634285335 22792845713780 34189268570670 68378537141340