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1013456418 = 231337433811
BaseRepresentation
bin111100011010000…
…001111000100010
32121121222220211220
4330122001320202
54033421101133
6244321515510
734054144302
oct7432017042
92547886756
101013456418
11480084897
122434a2b96
13131c6c070
1498851602
155de8d5b3
hex3c681e22

1013456418 has 64 divisors (see below), whose sum is σ = 2249772672. Its totient is φ = 302330880.

The previous prime is 1013456399. The next prime is 1013456443. The reversal of 1013456418 is 8146543101.

It is a super-2 number, since 2×10134564182 = 2054187822370781448, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1249233 + ... + 1250043.

It is an arithmetic number, because the mean of its divisors is an integer number (35152698).

Almost surely, 21013456418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013456418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124886336).

1013456418 is an abundant number, since it is smaller than the sum of its proper divisors (1236316254).

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

1013456418 is a wasteful number, since it uses less digits than its factorization.

1013456418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1013456418 is about 31834.8302649786. The cubic root of 1013456418 is about 1004.4655022743.

Adding to 1013456418 its reverse (8146543101), we get a palindrome (9159999519).

The spelling of 1013456418 in words is "one billion, thirteen million, four hundred fifty-six thousand, four hundred eighteen".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 433 481 811 866 962 1299 1443 1622 2433 2598 2886 4866 5629 10543 11258 16021 16887 21086 30007 31629 32042 33774 48063 60014 63258 90021 96126 180042 208273 351163 390091 416546 624819 702326 780182 1053489 1170273 1249638 2106978 2340546 4565119 9130238 12993031 13695357 25986062 27390714 38979093 77958186 168909403 337818806 506728209 1013456418