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264693996 = 223273121093
BaseRepresentation
bin11111100011011…
…10100011101100
3200110001211220100
433301232203230
51020230201441
642133151100
76362601420
oct1761564354
9613054810
10264693996
1112645a576
127478b490
1342ab8988
1427222b80
1518387cb6
hexfc6e8ec

264693996 has 108 divisors (see below), whose sum is σ = 790856976. Its totient is φ = 73120320.

The previous prime is 264693973. The next prime is 264694007. The reversal of 264693996 is 699396462.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 241626 + ... + 242718.

Almost surely, 2264693996 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 264693996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395428488).

264693996 is an abundant number, since it is smaller than the sum of its proper divisors (526162980).

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

264693996 is a wasteful number, since it uses less digits than its factorization.

264693996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1136 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 264693996 is about 16269.4190431005. The cubic root of 264693996 is about 642.0684994020.

The spelling of 264693996 in words is "two hundred sixty-four million, six hundred ninety-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 961 1093 1116 1302 1922 1953 2186 2604 2883 3279 3844 3906 4372 5766 6558 6727 7651 7812 8649 9837 11532 13116 13454 15302 17298 19674 20181 22953 26908 30604 33883 34596 39348 40362 45906 60543 67766 68859 80724 91812 101649 121086 135532 137718 203298 237181 242172 275436 304947 406596 474362 609894 711543 948724 1050373 1219788 1423086 2100746 2134629 2846172 3151119 4201492 4269258 6302238 7352611 8538516 9453357 12604476 14705222 18906714 22057833 29410444 37813428 44115666 66173499 88231332 132346998 264693996