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13148062224 = 24311296591303
BaseRepresentation
bin11000011111010111…
…11000001000010000
31020221022101202122120
430033223320020100
5203411400442344
610012400334240
7643551453633
oct141753701020
936838352576
1013148062224
115637813830
12266b314380
131316c7289b
148ca2abc1a
1551e44c219
hex30faf8210

13148062224 has 160 divisors (see below), whose sum is σ = 38418969600. Its totient is φ = 3838087680.

The previous prime is 13148062181. The next prime is 13148062243. The reversal of 13148062224 is 42226084131.

It is a Cunningham number, because it is equal to 1146652-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10089957 + ... + 10091259.

It is an arithmetic number, because the mean of its divisors is an integer number (240118560).

Almost surely, 213148062224 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 13148062224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209484800).

13148062224 is an abundant number, since it is smaller than the sum of its proper divisors (25270907376).

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

13148062224 is a wasteful number, since it uses less digits than its factorization.

13148062224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 13148062224 in words is "thirteen billion, one hundred forty-eight million, sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 659 696 957 1276 1303 1318 1392 1914 1977 2552 2606 2636 3828 3909 3954 5104 5212 5272 7249 7656 7818 7908 10424 10544 14333 14498 15312 15636 15816 19111 20848 21747 28666 28996 31272 31632 37787 38222 42999 43494 57332 57333 57992 62544 75574 76444 85998 86988 113361 114664 114666 115984 151148 152888 171996 173976 210221 226722 229328 229332 302296 305776 343992 347952 415657 420442 453444 458664 604592 630663 687984 831314 840884 858677 906888 917328 1246971 1261326 1662628 1681768 1717354 1813776 2493942 2522652 2576031 3325256 3363536 3434708 4987884 5045304 5152062 6650512 6869416 9445447 9975768 10090608 10304124 13738832 18890894 19951536 20608248 24901633 28336341 37781788 41216496 49803266 56672682 74704899 75563576 99606532 113345364 149409798 151127152 199213064 226690728 273917963 298819596 398426128 453381456 547835926 597639192 821753889 1095671852 1195278384 1643507778 2191343704 3287015556 4382687408 6574031112 13148062224