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21430320137664 = 263111616250717
BaseRepresentation
bin1001101111101101000101…
…00111101000010111000000
32210212201101212010212211020
410313312202213220113000
510302103243423401124
6113324541514345440
74341201211421514
oct467664247502700
983781355125736
1021430320137664
116912603037539
1224a140aa2b280
13bc5b416b1769
14541339608144
152726b9caa379
hex137da29e85c0

21430320137664 has 28 divisors (see below), whose sum is σ = 56701055364744. Its totient is φ = 7143440045824.

The previous prime is 21430320137651. The next prime is 21430320137689. The reversal of 21430320137664 is 46673102303412.

It is a happy number.

21430320137664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214303201376642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55808125167 + ... + 55808125550.

It is an arithmetic number, because the mean of its divisors is an integer number (2025037691598).

Almost surely, 221430320137664 is an apocalyptic number.

21430320137664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21430320137664 is an abundant number, since it is smaller than the sum of its proper divisors (35270735227080).

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

21430320137664 is a wasteful number, since it uses less digits than its factorization.

21430320137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111616250732 (or 111616250722 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 21430320137664 in words is "twenty-one trillion, four hundred thirty billion, three hundred twenty million, one hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 111616250717 223232501434 334848752151 446465002868 669697504302 892930005736 1339395008604 1785860011472 2678790017208 3571720022944 5357580034416 7143440045888 10715160068832 21430320137664