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22426604364160 = 2751391523165527
BaseRepresentation
bin1010001100101100110011…
…10010010110000110000000
32221101221222121200110022101
411012112121302112012000
510414414141204123120
6115410350111120144
74503161106546613
oct506263162260600
987357877613271
1022426604364160
117167084559837
122622514513054
13c68a86bc2c49
1457764c36617a
1528d57a1e190a
hex146599c96180

22426604364160 has 128 divisors (see below), whose sum is σ = 54035092742400. Its totient is φ = 8900203247616.

The previous prime is 22426604364127. The next prime is 22426604364161. The reversal of 22426604364160 is 6146340662422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 22426604364160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22426604364161) 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, 135403317 + ... + 135568843.

It is an arithmetic number, because the mean of its divisors is an integer number (422149162050).

Almost surely, 222426604364160 is an apocalyptic number.

22426604364160 is a gapful number since it is divisible by the number (20) 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 22426604364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27017546371200).

22426604364160 is an abundant number, since it is smaller than the sum of its proper divisors (31608488378240).

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

22426604364160 is a wasteful number, since it uses less digits than its factorization.

22426604364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167208 (or 167196 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 46.

The spelling of 22426604364160 in words is "twenty-two trillion, four hundred twenty-six billion, six hundred four million, three hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 278 320 556 640 695 1112 1390 1523 2224 2780 3046 4448 5560 6092 7615 8896 11120 12184 15230 17792 22240 24368 30460 44480 48736 60920 88960 97472 121840 165527 194944 211697 243680 331054 423394 487360 662108 827635 846788 974720 1058485 1324216 1655270 1693576 2116970 2648432 3310540 3387152 4233940 5296864 6621080 6774304 8467880 10593728 13242160 13548608 16935760 21187456 23008253 26484320 27097216 33871520 46016506 52968640 67743040 92033012 105937280 115041265 135486080 184066024 230082530 252097621 368132048 460165060 504195242 736264096 920330120 1008390484 1260488105 1472528192 1840660240 2016780968 2520976210 2945056384 3681320480 4033561936 5041952420 7362640960 8067123872 10083904840 14725281920 16134247744 20167809680 32268495488 35041569319 40335619360 70083138638 80671238720 140166277276 161342477440 175207846595 280332554552 350415693190 560665109104 700831386380 1121330218208 1401662772760 2242660436416 2803325545520 4485320872832 5606651091040 11213302182080 22426604364160