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66666252100 = 22527234140761
BaseRepresentation
bin111110000101100111…
…100100011101000100
320101002002022111111011
4332011213210131010
52043013030031400
650343121052004
74550023536010
oct760547443504
9211062274434
1066666252100
11263003a7a18
1210b06487004
13639587a466
143325d73540
151b02ae38ba
hexf859e4744

66666252100 has 72 divisors (see below), whose sum is σ = 172520707968. Its totient is φ = 21863212800.

The previous prime is 66666252073. The next prime is 66666252101. The reversal of 66666252100 is 125266666.

66666252100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66666252101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2054281 + ... + 2086480.

It is an arithmetic number, because the mean of its divisors is an integer number (2396120944).

Almost surely, 266666252100 is an apocalyptic number.

It is an amenable number.

66666252100 is an abundant number, since it is smaller than the sum of its proper divisors (105854455868).

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

66666252100 is a wasteful number, since it uses less digits than its factorization.

66666252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140805 (or 4140798 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 66666252100 in words is "sixty-six billion, six hundred sixty-six million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 4140761 8281522 16563044 20703805 28985327 41407610 57970654 82815220 95237503 103519025 115941308 144926635 190475006 207038050 289853270 380950012 414076100 476187515 579706540 666662521 724633175 952375030 1333325042 1449266350 1904750060 2380937575 2666650084 2898532700 3333312605 4761875150 6666625210 9523750300 13333250420 16666563025 33333126050 66666252100