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66940372296 = 2333744272733
BaseRepresentation
bin111110010101111101…
…010000010101001000
320101210012010020201000
4332111331100111020
52044043213403141
650430232255000
74556562530160
oct762575202510
9211705106630
1066940372296
1126431105536
1210b82241460
13640a5b6765
14335052b5a0
151b1bbde5b6
hexf95f50548

66940372296 has 64 divisors (see below), whose sum is σ = 212509123200. Its totient is φ = 19125820224.

The previous prime is 66940372283. The next prime is 66940372309. The reversal of 66940372296 is 69227304966.

66940372296 is a `hidden beast` number, since 6 + 6 + 9 + 403 + 7 + 229 + 6 = 666.

66940372296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66940372283) and next prime (66940372309).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22134855 + ... + 22137878.

It is an arithmetic number, because the mean of its divisors is an integer number (3320455050).

Almost surely, 266940372296 is an apocalyptic number.

It is an amenable number.

66940372296 is an abundant number, since it is smaller than the sum of its proper divisors (145568750904).

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

66940372296 is a wasteful number, since it uses less digits than its factorization.

66940372296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44272755 (or 44272745 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 66940372296 in words is "sixty-six billion, nine hundred forty million, three hundred seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 44272733 88545466 132818199 177090932 265636398 309909131 354181864 398454597 531272796 619818262 796909194 929727393 1062545592 1195363791 1239636524 1593818388 1859454786 2390727582 2479273048 2789182179 3187636776 3718909572 4781455164 5578364358 7437819144 8367546537 9562910328 11156728716 16735093074 22313457432 33470186148 66940372296