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21621210550456 = 23111919076780989
BaseRepresentation
bin1001110101010000101001…
…00100110001000010111000
32211112222010100010120220211
410322220110210301002320
510313220214400103311
6113552351430400504
74361036516232316
oct472502444610270
984488110116824
1021621210550456
11698655a767a70
122512403800134
13c0ab4363113a
1454a6879090b6
1527763d607821
hex13aa149310b8

21621210550456 has 64 divisors (see below), whose sum is σ = 46577264112000. Its totient is φ = 9305685452160.

The previous prime is 21621210550453. The next prime is 21621210550483. The reversal of 21621210550456 is 65405501212612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21621210550453) 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, 201991 + ... + 6578998.

It is an arithmetic number, because the mean of its divisors is an integer number (727769751750).

Almost surely, 221621210550456 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 21621210550456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23288632056000).

21621210550456 is an abundant number, since it is smaller than the sum of its proper divisors (24956053561544).

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

21621210550456 is a wasteful number, since it uses less digits than its factorization.

21621210550456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782932 (or 6782928 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 21621210550456 in words is "twenty-one trillion, six hundred twenty-one billion, two hundred ten million, five hundred fifty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 1907 3814 7628 15256 20977 36233 41954 72466 83908 144932 167816 289864 398563 797126 1594252 3188504 6780989 13561978 27123956 54247912 74590879 128838791 149181758 257677582 298363516 515355164 596727032 1030710328 1417226701 2834453402 5668906804 11337813608 12931346023 25862692046 51725384092 103450768184 142244806253 245695574437 284489612506 491391148874 568979225012 982782297748 1137958450024 1965564595496 2702651318807 5405302637614 10810605275228 21621210550456