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21320510456 = 2375931120749
BaseRepresentation
bin10011110110110011…
…010010101111111000
32001000212022011001102
4103312303102233320
5322131022313311
613443340310532
71353225230420
oct236663225770
961025264042
1021320510456
119050966083
124170242448
13201a14447b
141063825480
1584bb5d43b
hex4f6cd2bf8

21320510456 has 64 divisors (see below), whose sum is σ = 46612800000. Its totient is φ = 8953176960.

The previous prime is 21320510447. The next prime is 21320510467. The reversal of 21320510456 is 65401502312.

It is a super-2 number, since 2×213205104562 (a number of 21 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 15 ways as a sum of consecutive naturals, for example, 1017170 + ... + 1037918.

It is an arithmetic number, because the mean of its divisors is an integer number (728325000).

Almost surely, 221320510456 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 21320510456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23306400000).

21320510456 is an abundant number, since it is smaller than the sum of its proper divisors (25292289544).

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

21320510456 is a wasteful number, since it uses less digits than its factorization.

21320510456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 21320510456 in words is "twenty-one billion, three hundred twenty million, five hundred ten thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 311 413 472 622 826 1244 1652 2177 2488 3304 4354 8708 17416 18349 20749 36698 41498 73396 82996 128443 145243 146792 165992 256886 290486 513772 580972 1027544 1161944 1224191 2448382 4896764 6452939 8569337 9793528 12905878 17138674 25811756 34277348 45170573 51623512 68554696 90341146 180682292 361364584 380723401 761446802 1522893604 2665063807 3045787208 5330127614 10660255228 21320510456