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21616279256 = 231121310611619
BaseRepresentation
bin10100001000011011…
…100011111011011000
32001210110211202120102
4110020123203323120
5323232231414011
613532543514532
71363446225215
oct241033437330
961713752512
1021616279256
11919290a600
1242332b8a48
1320664c03b0
141090c16b0c
15867ad373b
hex5086e3ed8

21616279256 has 96 divisors (see below), whose sum is σ = 48051889200. Its totient is φ = 9055622400.

The previous prime is 21616279253. The next prime is 21616279277. The reversal of 21616279256 is 65297261612.

It is a self number, because there is not a number n which added to its sum of digits gives 21616279256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21616279253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13350815 + ... + 13352433.

Almost surely, 221616279256 is an apocalyptic number.

21616279256 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 21616279256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24025944600).

21616279256 is an abundant number, since it is smaller than the sum of its proper divisors (26435609944).

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

21616279256 is a wasteful number, since it uses less digits than its factorization.

21616279256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2706 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The spelling of 21616279256 in words is "twenty-one billion, six hundred sixteen million, two hundred seventy-nine thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1061 1144 1573 1619 2122 3146 3238 4244 6292 6476 8488 11671 12584 12952 13793 17809 21047 23342 27586 35618 42094 46684 55172 71236 84188 93368 110344 128381 142472 151723 168376 195899 231517 256762 303446 391798 463034 513524 606892 783596 926068 1027048 1213784 1567192 1668953 1717759 1852136 2546687 3337906 3435518 5093374 6675812 6871036 10186748 13351624 13742072 18895349 20373496 22330867 37790698 44661734 75581396 89323468 151162792 178646936 207848839 245639537 415697678 491279074 831395356 982558148 1662790712 1965116296 2702034907 5404069814 10808139628 21616279256