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1063377972 = 223230679631
BaseRepresentation
bin111111011000011…
…101110000110100
32202002221012100100
4333120131300310
54134211043342
6253303514100
735231364216
oct7730356064
92662835310
101063377972
114a6281678
12258158930
1313c3ca847
14a13285b6
156354ee4c
hex3f61dc34

1063377972 has 36 divisors (see below), whose sum is σ = 2689138816. Its totient is φ = 354306960.

The previous prime is 1063377943. The next prime is 1063377977. The reversal of 1063377972 is 2797733601.

1063377972 is a `hidden beast` number, since 1 + 0 + 633 + 7 + 7 + 9 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10633779722 = 2261545422669665568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063377977) 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 11 ways as a sum of consecutive naturals, for example, 105597 + ... + 115227.

Almost surely, 21063377972 is an apocalyptic number.

1063377972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1063377972 is an abundant number, since it is smaller than the sum of its proper divisors (1625760844).

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

1063377972 is a wasteful number, since it uses less digits than its factorization.

1063377972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12708 (or 12703 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 1063377972 is about 32609.4767207326. The cubic root of 1063377972 is about 1020.6947631089.

The spelling of 1063377972 in words is "one billion, sixty-three million, three hundred seventy-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 3067 6134 9201 9631 12268 18402 19262 27603 28893 36804 38524 55206 57786 86679 110412 115572 173358 346716 29538277 59076554 88614831 118153108 177229662 265844493 354459324 531688986 1063377972