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66612414 = 231153137139
BaseRepresentation
bin1111111000011…
…0110010111110
311122100021001110
43332012302332
5114023044124
610335422450
71436124201
oct376066276
9148307043
1066612414
1134667990
121a384a26
1310a5393b
148bbd938
155cac029
hex3f86cbe

66612414 has 64 divisors (see below), whose sum is σ = 150232320. Its totient is φ = 19518720.

The previous prime is 66612373. The next prime is 66612419. The reversal of 66612414 is 41421666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66612419) 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, 479157 + ... + 479295.

It is an arithmetic number, because the mean of its divisors is an integer number (2347380).

Almost surely, 266612414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66612414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75116160).

66612414 is an abundant number, since it is smaller than the sum of its proper divisors (83619906).

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

66612414 is a wasteful number, since it uses less digits than its factorization.

66612414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its digits is 6912, while the sum is 30.

The square root of 66612414 is about 8161.6428493288. The cubic root of 66612414 is about 405.3701112955.

The spelling of 66612414 in words is "sixty-six million, six hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 53 66 106 137 139 159 274 278 318 411 417 583 822 834 1166 1507 1529 1749 3014 3058 3498 4521 4587 7261 7367 9042 9174 14522 14734 19043 21783 22101 38086 43566 44202 57129 79871 81037 114258 159742 162074 209473 239613 243111 418946 479226 486222 628419 1009279 1256838 2018558 3027837 6055674 11102069 22204138 33306207 66612414