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60071364943668 = 223413384390281
BaseRepresentation
bin11011010100010011101000…
…10111100101111100110100
321212200202200201010021120000
431222021310113211330310
530333202123411144133
6331432223140511300
715440004265102611
oct1552116427457464
9255622621107500
1060071364943668
11181601394a95a1
1268a22966ab530
132769922a1c000
1410b9680737508
156e28d9e31413
hex36a2745e5f34

60071364943668 has 120 divisors (see below), whose sum is σ = 170118993872520. Its totient is φ = 18483496686720.

The previous prime is 60071364943663. The next prime is 60071364943693. The reversal of 60071364943668 is 86634946317006.

60071364943668 is a `hidden beast` number, since 6 + 0 + 0 + 7 + 136 + 4 + 9 + 436 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17910264130704 + 42161100812964 = 4232052^2 + 6493158^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60071364943663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41483313 + ... + 42906968.

It is an arithmetic number, because the mean of its divisors is an integer number (1417658282271).

Almost surely, 260071364943668 is an apocalyptic number.

It is an amenable number.

60071364943668 is an abundant number, since it is smaller than the sum of its proper divisors (110047628928852).

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

60071364943668 is a wasteful number, since it uses less digits than its factorization.

60071364943668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84390336 (or 84390299 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 60071364943668 in words is "sixty trillion, seventy-one billion, three hundred sixty-four million, nine hundred forty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 2197 3042 4212 4394 4563 6084 6591 8788 9126 13182 13689 18252 19773 26364 27378 39546 54756 59319 79092 118638 177957 237276 355914 711828 84390281 168780562 253170843 337561124 506341686 759512529 1012683372 1097073653 1519025058 2194147306 2278537587 3038050116 3291220959 4388294612 4557075174 6582441918 6835612761 9114150348 9873662877 13164883836 13671225522 14261957489 19747325754 27342451044 28523914978 29620988631 39494651508 42785872467 57047829956 59241977262 85571744934 88862965893 118483954524 128357617401 171143489868 177725931786 185405447357 256715234802 355451863572 370810894714 385072852203 513430469604 556216342071 741621789428 770145704406 1112432684142 1155218556609 1540291408812 1668649026213 2224865368284 2310437113218 3337298052426 4620874226436 5005947078639 6674596104852 10011894157278 15017841235917 20023788314556 30035682471834 60071364943668