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667741968 = 2434515233
BaseRepresentation
bin100111110011001…
…110111100010000
31201112110210210000
4213303032330100
52331420220333
6150132010000
722355466405
oct4763167420
91645423700
10667741968
11312a17473
12167760900
13a84566ba
146497c2ac
153d94e713
hex27ccef10

667741968 has 50 divisors (see below), whose sum is σ = 1932642734. Its totient is φ = 222580224.

The previous prime is 667741967. The next prime is 667742027. The reversal of 667741968 is 869147766.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 611671824 + 56070144 = 24732^2 + 7488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (667741967) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 256321 + ... + 258912.

Almost surely, 2667741968 is an apocalyptic number.

It is an amenable number.

667741968 is an abundant number, since it is smaller than the sum of its proper divisors (1264900766).

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

667741968 is a wasteful number, since it uses less digits than its factorization.

667741968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515253 (or 515238 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 667741968 is about 25840.7037055882. The cubic root of 667741968 is about 874.0498935572.

The spelling of 667741968 in words is "six hundred sixty-seven million, seven hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 515233 1030466 1545699 2060932 3091398 4121864 4637097 6182796 8243728 9274194 12365592 13911291 18548388 24731184 27822582 37096776 41733873 55645164 74193552 83467746 111290328 166935492 222580656 333870984 667741968