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66673085364 = 223319316910253
BaseRepresentation
bin111110000110000001…
…101000101110110100
320101002120011122222000
4332012001220232310
52043021302212424
650343523335300
74550135606034
oct760601505664
9211076148860
1066673085364
1126304244946
1210b08821530
136397100802
143326c318c4
151b034e33c9
hexf86068bb4

66673085364 has 96 divisors (see below), whose sum is σ = 182029008000. Its totient is φ = 21045961728.

The previous prime is 66673085363. The next prime is 66673085371. The reversal of 66673085364 is 46358037666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66673085364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66673085363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6497662 + ... + 6507914.

It is an arithmetic number, because the mean of its divisors is an integer number (1896135500).

Almost surely, 266673085364 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 66673085364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91014504000).

66673085364 is an abundant number, since it is smaller than the sum of its proper divisors (115355922636).

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

66673085364 is a wasteful number, since it uses less digits than its factorization.

66673085364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13454 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 66673085364 in words is "sixty-six billion, six hundred seventy-three million, eighty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 3169 6338 9507 10253 12676 19014 20506 28521 30759 38028 41012 57042 60211 61518 85563 92277 114084 120422 123036 171126 180633 184554 194807 240844 276831 342252 361266 369108 389614 541899 553662 584421 722532 779228 1083798 1107324 1168842 1625697 1753263 2167596 2337684 3251394 3506526 5259789 6502788 7013052 10519578 21039156 32491757 64983514 97475271 129967028 194950542 292425813 389901084 584851626 617343383 877277439 1169703252 1234686766 1754554878 1852030149 2469373532 3509109756 3704060298 5556090447 7408120596 11112180894 16668271341 22224361788 33336542682 66673085364