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66714642960 = 24357167237791
BaseRepresentation
bin111110001000100000…
…001010101000010000
320101012110101000021020
4332020200022220100
52043112422033320
650352010155440
74551152052150
oct761040125020
9211173330236
1066714642960
1126325749769
1210b1a722b80
1363a28c12c4
14332c56c760
151b06ea1940
hexf8880aa10

66714642960 has 160 divisors (see below), whose sum is σ = 237776781312. Its totient is φ = 15157685760.

The previous prime is 66714642947. The next prime is 66714643003. The reversal of 66714642960 is 6924641766.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161665 + ... + 399455.

Almost surely, 266714642960 is an apocalyptic number.

66714642960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66714642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118888390656).

66714642960 is an abundant number, since it is smaller than the sum of its proper divisors (171062138352).

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

66714642960 is a wasteful number, since it uses less digits than its factorization.

66714642960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237981 (or 237975 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 66714642960 in words is "sixty-six billion, seven hundred fourteen million, six hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 167 168 210 240 280 334 336 420 501 560 668 835 840 1002 1169 1336 1670 1680 2004 2338 2505 2672 3340 3507 4008 4676 5010 5845 6680 7014 8016 9352 10020 11690 13360 14028 17535 18704 20040 23380 28056 35070 40080 46760 56112 70140 93520 140280 237791 280560 475582 713373 951164 1188955 1426746 1664537 1902328 2377910 2853492 3329074 3566865 3804656 4755820 4993611 5706984 6658148 7133730 8322685 9511640 9987222 11413968 13316296 14267460 16645370 19023280 19974444 24968055 26632592 28534920 33290740 39711097 39948888 49936110 57069840 66581480 79422194 79897776 99872220 119133291 133162960 158844388 198555485 199744440 238266582 277977679 317688776 397110970 399488880 476533164 555955358 595666455 635377552 794221940 833933037 953066328 1111910716 1191332910 1389888395 1588443880 1667866074 1906132656 2223821432 2382665820 2779776790 3176887760 3335732148 4169665185 4447642864 4765331640 5559553580 6671464296 8339330370 9530663280 11119107160 13342928592 16678660740 22238214320 33357321480 66714642960