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66157616280 = 23357659119513
BaseRepresentation
bin111101100111010011…
…010001110010011000
320022202122020010022110
4331213103101302120
52040442322210110
650220431152320
74531306313520
oct754723216230
9208678203273
1066157616280
112606a282338
12109a40756a0
136314390712
1432b85b0680
151ac3121a20
hexf674d1c98

66157616280 has 128 divisors (see below), whose sum is σ = 227172211200. Its totient is φ = 15098668032.

The previous prime is 66157616263. The next prime is 66157616311. The reversal of 66157616280 is 8261675166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493804 + ... + 613316.

It is an arithmetic number, because the mean of its divisors is an integer number (1774782900).

Almost surely, 266157616280 is an apocalyptic number.

66157616280 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 66157616280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113586105600).

66157616280 is an abundant number, since it is smaller than the sum of its proper divisors (161014594920).

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

66157616280 is a wasteful number, since it uses less digits than its factorization.

66157616280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120193 (or 120189 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 66157616280 in words is "sixty-six billion, one hundred fifty-seven million, six hundred sixteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 659 840 1318 1977 2636 3295 3954 4613 5272 6590 7908 9226 9885 13180 13839 15816 18452 19770 23065 26360 27678 36904 39540 46130 55356 69195 79080 92260 110712 119513 138390 184520 239026 276780 358539 478052 553560 597565 717078 836591 956104 1195130 1434156 1673182 1792695 2390260 2509773 2868312 3346364 3585390 4182955 4780520 5019546 6692728 7170780 8365910 10039092 12548865 14341560 16731820 20078184 25097730 33463640 50195460 78759067 100390920 157518134 236277201 315036268 393795335 472554402 551313469 630072536 787590670 945108804 1102626938 1181386005 1575181340 1653940407 1890217608 2205253876 2362772010 2756567345 3150362680 3307880814 4410507752 4725544020 5513134690 6615761628 8269702035 9451088040 11026269380 13231523256 16539404070 22052538760 33078808140 66157616280