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66412829880 = 2334543347339
BaseRepresentation
bin111101110110100000…
…110101110010111000
320100102102110022120000
4331312200311302320
52042003141024010
650302025233000
74540525511505
oct756640656270
9210372408500
1066412829880
1126190347071
1210a55632760
13635520a197
1433004464ac
151ada7357c0
hexf76835cb8

66412829880 has 160 divisors (see below), whose sum is σ = 223741148400. Its totient is φ = 17668813824.

The previous prime is 66412829831. The next prime is 66412829893. The reversal of 66412829880 is 8892821466.

66412829880 is a `hidden beast` number, since 66 + 412 + 8 + 2 + 98 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1379251 + ... + 1426589.

Almost surely, 266412829880 is an apocalyptic number.

66412829880 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 66412829880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111870574200).

66412829880 is an abundant number, since it is smaller than the sum of its proper divisors (157328318520).

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

66412829880 is a wasteful number, since it uses less digits than its factorization.

66412829880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47795 (or 47782 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 66412829880 in words is "sixty-six billion, four hundred twelve million, eight hundred twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 433 540 648 810 866 1080 1299 1620 1732 2165 2598 3240 3464 3897 4330 5196 6495 7794 8660 10392 11691 12990 15588 17320 19485 23382 25980 31176 35073 38970 46764 47339 51960 58455 70146 77940 93528 94678 116910 140292 142017 155880 175365 189356 233820 236695 280584 284034 350730 378712 426051 467640 473390 568068 701460 710085 852102 946780 1136136 1278153 1402920 1420170 1704204 1893560 2130255 2556306 2840340 3408408 3834459 4260510 5112612 5680680 6390765 7668918 8521020 10225224 12781530 15337836 17042040 19172295 20497787 25563060 30675672 38344590 40995574 51126120 61493361 76689180 81991148 102488935 122986722 153378360 163982296 184480083 204977870 245973444 307466805 368960166 409955740 491946888 553440249 614933610 737920332 819911480 922400415 1106880498 1229867220 1475840664 1660320747 1844800830 2213760996 2459734440 2767201245 3320641494 3689601660 4427521992 5534402490 6641282988 7379203320 8301603735 11068804980 13282565976 16603207470 22137609960 33206414940 66412829880