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21555410362122 = 237132231165715187
BaseRepresentation
bin1001110011010110000101…
…00100111101111100001010
32211022200021121110200120110
410321223002210331330022
510311130440023041442
6113502230244135150
74353220106660460
oct471530244757412
984280247420513
1021555410362122
11696066422362a
1225016bb3974b6
13c04888327860
145474049ba830
15275a8ba8a69c
hex139ac293df0a

21555410362122 has 128 divisors (see below), whose sum is σ = 53305488359424. Its totient is φ = 5658592255488.

The previous prime is 21555410362111. The next prime is 21555410362127. The reversal of 21555410362122 is 22126301455512.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (21555410362127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1419325413 + ... + 1419340599.

It is an arithmetic number, because the mean of its divisors is an integer number (416449127808).

Almost surely, 221555410362122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21555410362122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26652744179712).

21555410362122 is an abundant number, since it is smaller than the sum of its proper divisors (31750077997302).

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

21555410362122 is a wasteful number, since it uses less digits than its factorization.

21555410362122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27092.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 21555410362122 in words is "twenty-one trillion, five hundred fifty-five billion, four hundred ten million, three hundred sixty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 223 273 446 546 669 1338 1561 2899 3122 4683 5798 8697 9366 11657 15187 17394 20293 23314 30374 34971 40586 45561 60879 69942 81599 91122 106309 121758 151541 163198 197431 212618 244797 303082 318927 394862 454623 489594 592293 637854 909246 1060787 1184586 1382017 2121574 2599511 2764034 3182361 3386701 4146051 5199022 6364722 6773402 7798533 8292102 10160103 15597066 18196577 20320206 23706907 33793643 36393154 44027113 47413814 54589731 67587286 71120721 88054226 101380929 109179462 132081339 142241442 177034859 202761858 236555501 264162678 308189791 354069718 473111002 531104577 616379582 709666503 924569373 1062209154 1239244013 1419333006 1849138746 2301453167 2478488026 3717732039 4602906334 6904359501 7435464078 13808719002 16110172169 32220344338 39478773557 48330516507 78957547114 96661033014 118436320671 236872641342 276351414899 513224056241 552702829798 829054244697 1026448112482 1539672168723 1658108489394 3079344337446 3592568393687 7185136787374 10777705181061 21555410362122