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66949255808 = 276740919087
BaseRepresentation
bin111110010110011111…
…001001001010000000
320101210210211120120222
4332112133021022000
52044103002141213
650431150522212
74560031166501
oct762637111200
9211723746528
1066949255808
1126436122886
1210b85206368
13640c3a7086
1433517a0ba8
151b1c896808
hexf967c9280

66949255808 has 64 divisors (see below), whose sum is σ = 135704227200. Its totient is φ = 32892659712.

The previous prime is 66949255801. The next prime is 66949255811. The reversal of 66949255808 is 80855294966.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (66949255801) 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 7 ways as a sum of consecutive naturals, for example, 3498041 + ... + 3517127.

It is an arithmetic number, because the mean of its divisors is an integer number (2120378550).

Almost surely, 266949255808 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 66949255808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852113600).

66949255808 is an abundant number, since it is smaller than the sum of its proper divisors (68754971392).

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

66949255808 is a wasteful number, since it uses less digits than its factorization.

66949255808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19577 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 62.

The spelling of 66949255808 in words is "sixty-six billion, nine hundred forty-nine million, two hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 409 536 818 1072 1636 2144 3272 4288 6544 8576 13088 19087 26176 27403 38174 52352 54806 76348 109612 152696 219224 305392 438448 610784 876896 1221568 1278829 1753792 2443136 2557658 3507584 5115316 7806583 10230632 15613166 20461264 31226332 40922528 62452664 81845056 124905328 163690112 249810656 499621312 523041061 999242624 1046082122 2092164244 4184328488 8368656976 16737313952 33474627904 66949255808