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68713083360 = 25325172806907
BaseRepresentation
bin111111111111100111…
…100111000111100000
320120100201210022010100
4333333213213013200
52111211022131420
651322155502400
74651526400045
oct777747470740
9216321708110
1068713083360
11271608205a9
1211397a57a00
13663094080c
14347bb3d1cc
151bc2657190
hexfff9e71e0

68713083360 has 144 divisors (see below), whose sum is σ = 248276626416. Its totient is φ = 17245630464.

The previous prime is 68713083289. The next prime is 68713083367. The reversal of 68713083360 is 6338031786.

68713083360 is a `hidden beast` number, since 6 + 8 + 7 + 1 + 308 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68713083367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378974 + ... + 1427933.

It is an arithmetic number, because the mean of its divisors is an integer number (1724143239).

Almost surely, 268713083360 is an apocalyptic number.

68713083360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68713083360 is an abundant number, since it is smaller than the sum of its proper divisors (179563543056).

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

68713083360 is a wasteful number, since it uses less digits than its factorization.

68713083360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806945 (or 2806934 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 68713083360 in words is "sixty-eight billion, seven hundred thirteen million, eighty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 2806907 5613814 8420721 11227628 14034535 16841442 22455256 25262163 28069070 33682884 42103605 44910512 47717419 50524326 56138140 67365768 84207210 89821024 95434838 101048652 112276280 126310815 134731536 143152257 168414420 190869676 202097304 224552560 238587095 252621630 269463072 286304514 336828840 381739352 404194608 429456771 449105120 477174190 505243260 572609028 673657680 715761285 763478704 808389216 858913542 954348380 1010486520 1145218056 1347315360 1431522570 1526957408 1717827084 1908696760 2020973040 2147283855 2290436112 2863045140 3435654168 3817393520 4041946080 4294567710 4580872224 5726090280 6871308336 7634787040 8589135420 11452180560 13742616672 17178270840 22904361120 34356541680 68713083360