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21483564864 = 2631516171201
BaseRepresentation
bin10100000000100001…
…010010111101000000
32001110020010011122120
4110000201102331000
5322444243033424
613511443204240
71360245200616
oct240041227500
961406104576
1021483564864
119124a04293
1241b6976680
132044b64278
14107b34b6b6
1585b11aa79
hex500852f40

21483564864 has 112 divisors (see below), whose sum is σ = 57358824576. Its totient is φ = 7096320000.

The previous prime is 21483564847. The next prime is 21483564877. The reversal of 21483564864 is 46846538412.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17887464 + ... + 17888664.

Almost surely, 221483564864 is an apocalyptic number.

21483564864 is a gapful number since it is divisible by the number (24) 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 21483564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28679412288).

21483564864 is an abundant number, since it is smaller than the sum of its proper divisors (35875259712).

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

21483564864 is a wasteful number, since it uses less digits than its factorization.

21483564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1974 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 51.

The spelling of 21483564864 in words is "twenty-one billion, four hundred eighty-three million, five hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 617 906 1201 1208 1234 1812 1851 2402 2416 2468 3603 3624 3702 4804 4832 4936 7206 7248 7404 9608 9664 9872 14412 14496 14808 19216 19744 28824 28992 29616 38432 39488 57648 59232 76864 93167 115296 118464 181351 186334 230592 279501 362702 372668 544053 559002 725404 741017 745336 1088106 1118004 1450808 1482034 1490672 2176212 2223051 2236008 2901616 2964068 2981344 4352424 4446102 4472016 5803232 5928136 5962688 8704848 8892204 8944032 11606464 11856272 17409696 17784408 17888064 23712544 34819392 35568816 47425088 71137632 111893567 142275264 223787134 335680701 447574268 671361402 895148536 1342722804 1790297072 2685445608 3580594144 5370891216 7161188288 10741782432 21483564864