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1013646012 = 2231713736269
BaseRepresentation
bin111100011010110…
…000001010111100
32121122100112220220
4330122300022330
54033443133022
6244325541340
734055564121
oct7432601274
92548315826
101013646012
114801a4285
12243574850
13132007452
14988a0748
155dec985c
hex3c6b02bc

1013646012 has 48 divisors (see below), whose sum is σ = 2522651040. Its totient is φ = 315676672.

The previous prime is 1013646001. The next prime is 1013646013. The reversal of 1013646012 is 2106463101.

1013646012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013646013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9814 + ... + 46082.

It is an arithmetic number, because the mean of its divisors is an integer number (52555230).

Almost surely, 21013646012 is an apocalyptic number.

1013646012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013646012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261325520).

1013646012 is an abundant number, since it is smaller than the sum of its proper divisors (1509005028).

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

1013646012 is a wasteful number, since it uses less digits than its factorization.

1013646012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36430 (or 36428 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1013646012 is about 31837.8079019269. The cubic root of 1013646012 is about 1004.5281357054.

The spelling of 1013646012 in words is "one billion, thirteen million, six hundred forty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 137 204 274 411 548 822 1644 2329 4658 6987 9316 13974 27948 36269 72538 108807 145076 217614 435228 616573 1233146 1849719 2466292 3699438 4968853 7398876 9937706 14906559 19875412 29813118 59626236 84470501 168941002 253411503 337882004 506823006 1013646012