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68285632320 = 2632523710289
BaseRepresentation
bin111111100110001001…
…000000111101000000
320112020221110112112100
4333212021000331000
52104322110213240
651211530030400
74635116204103
oct774611007500
9215227415470
1068285632320
1126a61506284
1211298878400
13659320a4c9
14343b07073a
151b99d6ee30
hexfe6240f40

68285632320 has 84 divisors (see below), whose sum is σ = 234874132740. Its totient is φ = 18209501184.

The previous prime is 68285632309. The next prime is 68285632343. The reversal of 68285632320 is 2323658286.

68285632320 is a `hidden beast` number, since 6 + 8 + 2 + 8 + 5 + 632 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9096581376 + 59189050944 = 95376^2 + 243288^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11852265 + ... + 11858024.

Almost surely, 268285632320 is an apocalyptic number.

68285632320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68285632320 is an abundant number, since it is smaller than the sum of its proper divisors (166588500420).

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

68285632320 is a wasteful number, since it uses less digits than its factorization.

68285632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23710312 (or 23710299 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 68285632320 in words is "sixty-eight billion, two hundred eighty-five million, six hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 23710289 47420578 71130867 94841156 118551445 142261734 189682312 213392601 237102890 284523468 355654335 379364624 426785202 474205780 569046936 711308670 758729248 853570404 948411560 1066963005 1138093872 1422617340 1517458496 1707140808 1896823120 2133926010 2276187744 2845234680 3414281616 3793646240 4267852020 4552375488 5690469360 6828563232 7587292480 8535704040 11380938720 13657126464 17071408080 22761877440 34142816160 68285632320