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66157071100 = 22524119184481
BaseRepresentation
bin111101100111010001…
…001100101011111100
320022202121012102110121
4331213101030223330
52040442202233400
650220411344324
74531301553211
oct754721145374
9208677172417
1066157071100
1126069a3a77a
12109a3a520a4
13631422c523
1432b84abb08
151ac306521a
hexf6744cafc

66157071100 has 72 divisors (see below), whose sum is σ = 147834038016. Its totient is φ = 25681920000.

The previous prime is 66157071067. The next prime is 66157071121. The reversal of 66157071100 is 117075166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740860 + ... + 825340.

It is an arithmetic number, because the mean of its divisors is an integer number (2053250528).

Almost surely, 266157071100 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 66157071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73917019008).

66157071100 is an abundant number, since it is smaller than the sum of its proper divisors (81676966916).

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

66157071100 is a wasteful number, since it uses less digits than its factorization.

66157071100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84727 (or 84720 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 66157071100 in words is "sixty-six billion, one hundred fifty-seven million, seventy-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 191 205 382 410 764 820 955 1025 1910 2050 3820 4100 4775 7831 9550 15662 19100 31324 39155 78310 84481 156620 168962 195775 337924 391550 422405 783100 844810 1689620 2112025 3463721 4224050 6927442 8448100 13854884 16135871 17318605 32271742 34637210 64543484 69274420 80679355 86593025 161358710 173186050 322717420 346372100 403396775 661570711 806793550 1323141422 1613587100 2646282844 3307853555 6615707110 13231414220 16539267775 33078535550 66157071100