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66412869408 = 253426397423
BaseRepresentation
bin111101110110100000…
…111111011100100000
320100102102112022210000
4331312200333130200
52042003143310113
650302030140000
74540526034654
oct756640773440
9210372468700
1066412869408
1126190373836
1210a55651600
136355222182
143300456a64
151ada742373
hexf7683f720

66412869408 has 120 divisors (see below), whose sum is σ = 196063072128. Its totient is φ = 22053223296.

The previous prime is 66412869389. The next prime is 66412869427. The reversal of 66412869408 is 80496821466.

66412869408 is a `hidden beast` number, since 66 + 412 + 86 + 94 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (66412869389) and next prime (66412869427).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632985 + ... + 730407.

Almost surely, 266412869408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66412869408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98031536064).

66412869408 is an abundant number, since it is smaller than the sum of its proper divisors (129650202720).

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

66412869408 is a wasteful number, since it uses less digits than its factorization.

66412869408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97708 (or 97691 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 66412869408 in words is "sixty-six billion, four hundred twelve million, eight hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 263 288 324 432 526 648 789 864 1052 1296 1578 2104 2367 2592 3156 4208 4734 6312 7101 8416 9468 12624 14202 18936 21303 25248 28404 37872 42606 56808 75744 85212 97423 113616 170424 194846 227232 292269 340848 389692 584538 681696 779384 876807 1169076 1558768 1753614 2338152 2630421 3117536 3507228 4676304 5260842 7014456 7891263 9352608 10521684 14028912 15782526 21043368 25622249 28057824 31565052 42086736 51244498 63130104 76866747 84173472 102488996 126260208 153733494 204977992 230600241 252520416 307466988 409955984 461200482 614933976 691800723 819911968 922400964 1229867952 1383601446 1844801928 2075402169 2459735904 2767202892 3689603856 4150804338 5534405784 7379207712 8301608676 11068811568 16603217352 22137623136 33206434704 66412869408