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21556434536 = 23713314123297
BaseRepresentation
bin10100000100110111…
…010001011001101000
32001122022020100001022
4110010313101121220
5323121421401121
613523005112012
71362121445630
oct240467213150
961568210038
1021556434536
11916205535a
124217258608
132056c99010
141086cb96c0
15862711aab
hex504dd1668

21556434536 has 128 divisors (see below), whose sum is σ = 52605020160. Its totient is φ = 8051097600.

The previous prime is 21556434511. The next prime is 21556434583. The reversal of 21556434536 is 63543465512.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913640 + ... + 936936.

It is an arithmetic number, because the mean of its divisors is an integer number (410976720).

Almost surely, 221556434536 is an apocalyptic number.

21556434536 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 21556434536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26302510080).

21556434536 is an abundant number, since it is smaller than the sum of its proper divisors (31048585624).

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

21556434536 is a wasteful number, since it uses less digits than its factorization.

21556434536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23395 (or 23391 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 44.

The spelling of 21556434536 in words is "twenty-one billion, five hundred fifty-six million, four hundred thirty-four thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 41 52 56 62 82 91 104 124 164 182 217 248 287 328 364 403 434 533 574 728 806 868 1066 1148 1271 1612 1736 2132 2296 2542 2821 3224 3731 4264 5084 5642 7462 8897 10168 11284 14924 16523 17794 22568 23297 29848 33046 35588 46594 66092 71176 93188 115661 132184 163079 186376 231322 302861 326158 462644 605722 652316 722207 925288 955177 1211444 1304632 1444414 1910354 2120027 2422888 2888828 3820708 4240054 5055449 5777656 6686239 7641416 8480108 9388691 10110898 12417301 13372478 16960216 18777382 20221796 24834602 26744956 29610487 37554764 40443592 49669204 53489912 59220974 65720837 75109528 86921107 99338408 118441948 131441674 173842214 207273409 236883896 262883348 347684428 384936331 414546818 525766696 695368856 769872662 829093636 1539745324 1658187272 2694554317 3079490648 5389108634 10778217268 21556434536