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1013752976 = 24173727033
BaseRepresentation
bin111100011011001…
…010010010010000
32121122112222122112
4330123022102100
54034010043401
6244332124452
734056521015
oct7433122220
92548488575
101013752976
11480267685
12243606728
13132044042
14988cb70c
155deeb3bb
hex3c6ca490

1013752976 has 20 divisors (see below), whose sum is σ = 2079684972. Its totient is φ = 477060096.

The previous prime is 1013752969. The next prime is 1013753017. The reversal of 1013752976 is 6792573101.

It can be written as a sum of positive squares in 2 ways, for example, as 871666576 + 142086400 = 29524^2 + 11920^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1863245 + ... + 1863788.

Almost surely, 21013752976 is an apocalyptic number.

1013752976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1013752976 is an abundant number, since it is smaller than the sum of its proper divisors (1065931996).

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

1013752976 is a wasteful number, since it uses less digits than its factorization.

1013752976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727058 (or 3727052 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 1013752976 is about 31839.4876843206. The cubic root of 1013752976 is about 1004.5634684109.

The spelling of 1013752976 in words is "one billion, thirteen million, seven hundred fifty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 3727033 7454066 14908132 29816264 59632528 63359561 126719122 253438244 506876488 1013752976