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21481006096 = 2411233312
BaseRepresentation
bin10100000000010111…
…100010010000010000
32001110001022011200101
4110000113202100100
5322443114143341
613511312302144
71360214352634
oct240027422020
961401264611
1021481006096
119123516900
1241b5b41954
1320444796c4
14107ac82dc4
1585acb2831
hex5005e2410

21481006096 has 45 divisors (see below), whose sum is σ = 45760735839. Its totient is φ = 9761162400.

The previous prime is 21481006039. The next prime is 21481006103. The reversal of 21481006096 is 69060018412.

It is a happy number.

The square root of 21481006096 is 146564.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×214810060962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6447151 + ... + 6450481.

Almost surely, 221481006096 is an apocalyptic number.

21481006096 is the 146564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21481006096

21481006096 is an abundant number, since it is smaller than the sum of its proper divisors (24279729743).

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

21481006096 is an frugal number, since it uses more digits than its factorization.

21481006096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6692 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Multiplying 21481006096 by its product of nonzero digits (20736), we get a square (445430142406656 = 211052162).

The spelling of 21481006096 in words is "twenty-one billion, four hundred eighty-one million, six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 3331 6662 13324 26648 36641 53296 73282 146564 293128 403051 586256 806102 1612204 3224408 6448816 11095561 22191122 44382244 88764488 122051171 177528976 244102342 488204684 976409368 1342562881 1952818736 2685125762 5370251524 10740503048 21481006096