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66764916 = 223217127859
BaseRepresentation
bin1111111010110…
…0000001110100
311122122000020200
43332230001310
5114042434131
610343000500
71440330621
oct376540164
9148560220
1066764916
1134761519
121a439130
1310aa818a
148c1d348
155cdc2e6
hex3fac074

66764916 has 72 divisors (see below), whose sum is σ = 180311040. Its totient is φ = 20756736.

The previous prime is 66764911. The next prime is 66764923. The reversal of 66764916 is 61946766.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (326592) is a multiple of the sum of its prime divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66764911) 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, 77295 + ... + 78153.

It is an arithmetic number, because the mean of its divisors is an integer number (2504320).

Almost surely, 266764916 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 66764916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90155520).

66764916 is an abundant number, since it is smaller than the sum of its proper divisors (113546124).

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

66764916 is a wasteful number, since it uses less digits than its factorization.

66764916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1008 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 66764916 is about 8170.9801125691. The cubic root of 66764916 is about 405.6792260302.

The spelling of 66764916 in words is "sixty-six million, seven hundred sixty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 127 153 204 254 306 381 508 612 762 859 1143 1524 1718 2159 2286 2577 3436 4318 4572 5154 6477 7731 8636 10308 12954 14603 15462 19431 25908 29206 30924 38862 43809 58412 77724 87618 109093 131427 175236 218186 262854 327279 436372 525708 654558 981837 1309116 1854581 1963674 3709162 3927348 5563743 7418324 11127486 16691229 22254972 33382458 66764916