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66672192960 = 263357716689
BaseRepresentation
bin111110000101111110…
…001110110111000000
320101002111111022211000
4332011332032313000
52043021040133320
650343452252000
74550125201212
oct760576166700
9211074438730
1066672192960
112630379541a
1210b08471000
136396b7a569
143326a7c5b2
151b033b8c90
hexf85f8edc0

66672192960 has 112 divisors (see below), whose sum is σ = 235204711200. Its totient is φ = 17779249152.

The previous prime is 66672192947. The next prime is 66672192989. The reversal of 66672192960 is 6929127666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 66672192897 and 66672192906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3849705 + ... + 3866984.

Almost surely, 266672192960 is an apocalyptic number.

66672192960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66672192960 is an abundant number, since it is smaller than the sum of its proper divisors (168532518240).

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

66672192960 is a wasteful number, since it uses less digits than its factorization.

66672192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716715 (or 7716699 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 66672192960 in words is "sixty-six billion, six hundred seventy-two million, one hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 7716689 15433378 23150067 30866756 38583445 46300134 61733512 69450201 77166890 92600268 115750335 123467024 138900402 154333780 185200536 208350603 231500670 246934048 277800804 308667560 347251005 370401072 416701206 463001340 493868096 555601608 617335120 694502010 740802144 833402412 926002680 1041753015 1111203216 1234670240 1389004020 1481604288 1666804824 1852005360 2083506030 2222406432 2469340480 2778008040 3333609648 3704010720 4167012060 4444812864 5556016080 6667219296 7408021440 8334024120 11112032160 13334438592 16668048240 22224064320 33336096480 66672192960