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21554529084 = 22331125331121
BaseRepresentation
bin10100000100110000…
…000000001100111100
32001122011122112021000
4110010300000030330
5323120424412314
613522500210300
71362066321444
oct240460001474
961564575230
1021554529084
119160a73800
124216699990
13205677c92a
141086941124
15862487209
hex504c0033c

21554529084 has 144 divisors (see below), whose sum is σ = 62585097120. Its totient is φ = 6408230400.

The previous prime is 21554529083. The next prime is 21554529127. The reversal of 21554529084 is 48092545512.

21554529084 is a `hidden beast` number, since 2 + 1 + 5 + 545 + 29 + 0 + 84 = 666.

It is a super-4 number, since 4×215545290844 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21554529083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677044 + ... + 708164.

It is an arithmetic number, because the mean of its divisors is an integer number (434618730).

Almost surely, 221554529084 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 21554529084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31292548560).

21554529084 is an abundant number, since it is smaller than the sum of its proper divisors (41030568036).

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

21554529084 is a wasteful number, since it uses less digits than its factorization.

21554529084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31209 (or 31190 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 21554529084 in words is "twenty-one billion, five hundred fifty-four million, five hundred twenty-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 121 132 159 198 212 242 297 318 363 396 477 484 583 594 636 726 954 1089 1166 1188 1431 1452 1749 1908 2178 2332 2862 3267 3498 4356 5247 5724 6413 6534 6996 10494 12826 13068 15741 19239 20988 25652 31121 31482 38478 57717 62242 62964 76956 93363 115434 124484 173151 186726 230868 280089 342331 346302 373452 560178 684662 692604 840267 1026993 1120356 1369324 1649413 1680534 2053986 3080979 3298826 3361068 3765641 4107972 4948239 6161958 6597652 7531282 9242937 9896478 11296923 12323916 14844717 15062564 18143543 18485874 19792956 22593846 29689434 33890769 36287086 36971748 44534151 45187692 54430629 59378868 67781538 72574172 89068302 101672307 108861258 135563076 163291887 178136604 199578973 203344614 217722516 326583774 399157946 406689228 489875661 598736919 653167548 798315892 979751322 1197473838 1796210757 1959502644 2394947676 3592421514 5388632271 7184843028 10777264542 21554529084