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68402077020486 = 23311612137988301
BaseRepresentation
bin11111000110110000110011…
…00000001011000101000110
322222012011201100121212022000
433203120121200023011012
532431144423204123421
6401251251432250130
720256613143304206
oct1743303140130506
9288164640555260
1068402077020486
111a88218126a9a0
127808945240946
132c223991b4191
1412c696cd62406
157d946593a226
hex3e361980b146

68402077020486 has 128 divisors (see below), whose sum is σ = 168551422732800. Its totient is φ = 20386915920000.

The previous prime is 68402077020461. The next prime is 68402077020493.

It is a happy number.

68402077020486 is nontrivially palindromic in base 10.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 774602536 + ... + 774690836.

It is an arithmetic number, because the mean of its divisors is an integer number (1316807990100).

Almost surely, 268402077020486 is an apocalyptic number.

68402077020486 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68402077020486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84275711366400).

68402077020486 is an abundant number, since it is smaller than the sum of its proper divisors (100149345712314).

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

68402077020486 is a wasteful number, since it uses less digits than its factorization.

68402077020486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109763 (or 109757 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 68402077020486 in words is "sixty-eight trillion, four hundred two billion, seventy-seven million, twenty thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 183 198 297 366 549 594 671 1098 1342 1647 2013 3294 4026 6039 12078 18117 21379 36234 42758 64137 88301 128274 176602 192411 235169 264903 384822 470338 529806 577233 705507 794709 971311 1154466 1304119 1411014 1589418 1942622 2116521 2384127 2608238 2913933 3912357 4233042 4768254 5386361 5827866 6349563 7824714 8741799 10772722 11737071 12699126 14345309 16159083 17483598 23474142 26225397 28690618 32318166 35211213 43035927 48477249 52450794 59249971 70422426 86071854 96954498 118499942 129107781 145431747 177749913 258215562 290863494 355499826 387323343 533249739 774646686 1066499478 1599749217 1887787079 3199498434 3775574158 5663361237 11326722474 16990083711 20765657869 33980167422 41531315738 50970251133 62296973607 101940502266 115155011819 124593947214 186890920821 230310023638 345465035457 373781841642 560672762463 690930070914 1036395106371 1121345524926 1266705130009 2072790212742 2533410260018 3109185319113 3800115390027 6218370638226 7600230780054 11400346170081 22800692340162 34201038510243 68402077020486