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22513556416 = 26131710211559
BaseRepresentation
bin10100111101111010…
…011001101111000000
32011010000020011102211
4110331322121233000
5332101432301131
614201555351504
71424623033501
oct247572315700
964100204384
1022513556416
11960335217a
1244438b2594
13217a372620
141138064ba8
158bb7735b1
hex53de99bc0

22513556416 has 112 divisors (see below), whose sum is σ = 51024617280. Its totient is φ = 9763799040.

The previous prime is 22513556347. The next prime is 22513556423. The reversal of 22513556416 is 61465531522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14440245 + ... + 14441803.

It is an arithmetic number, because the mean of its divisors is an integer number (455576940).

Almost surely, 222513556416 is an apocalyptic number.

22513556416 is a gapful number since it is divisible by the number (26) 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 22513556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25512308640).

22513556416 is an abundant number, since it is smaller than the sum of its proper divisors (28511060864).

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

22513556416 is a wasteful number, since it uses less digits than its factorization.

22513556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2612 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

The spelling of 22513556416 in words is "twenty-two billion, five hundred thirteen million, five hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1021 1088 1559 1768 2042 3118 3536 4084 6236 7072 8168 12472 13273 14144 16336 17357 20267 24944 26503 26546 32672 34714 40534 49888 53006 53092 65344 69428 81068 99776 106012 106184 138856 162136 212024 212368 225641 277712 324272 344539 424048 424736 451282 555424 648544 689078 848096 849472 902564 1110848 1297088 1378156 1591739 1696192 1805128 2756312 3183478 3610256 5512624 6366956 7220512 11025248 12733912 14441024 20692607 22050496 25467824 27059563 41385214 50935648 54119126 82770428 101871296 108238252 165540856 216476504 331081712 351774319 432953008 662163424 703548638 865906016 1324326848 1407097276 1731812032 2814194552 5628389104 11256778208 22513556416