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20728479545316 = 2232419218112
BaseRepresentation
bin1001011011010001110011…
…01010001111011111100100
32201101121211101020201001100
410231220321222033133210
510204103411230422231
6112030310531000100
74236404022004524
oct455507152173744
981347741221040
1020728479545316
116671998349644
1223a9399a39030
13b748c1b1142a
14519399aa1684
1525e2de32c1e6
hex12da39a8f7e4

20728479545316 has 81 divisors (see below), whose sum is σ = 52551358757443. Its totient is φ = 6889196558640.

The previous prime is 20728479545309. The next prime is 20728479545329. The reversal of 20728479545316 is 61354597482702.

It is a happy number.

The square root of 20728479545316 is 4552854.

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

20728479545316 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 8 + 4 + 7 + 95 + 4 + 531 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11445874051 + ... + 11445875861.

It is a 1-persistent number, because it is pandigital, but 2⋅20728479545316 = 41456959090632 is not.

Almost surely, 220728479545316 is an apocalyptic number.

20728479545316 is the 4552854-th square number.

It is an amenable number.

20728479545316 is an abundant number, since it is smaller than the sum of its proper divisors (31822879212127).

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

20728479545316 is an frugal number, since it uses more digits than its factorization.

20728479545316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 20728479545316 in words is "twenty trillion, seven hundred twenty-eight billion, four hundred seventy-nine million, five hundred forty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 419 838 1257 1676 1811 2514 3622 3771 5028 5433 7244 7542 10866 15084 16299 21732 32598 65196 175561 351122 526683 702244 758809 1053366 1517618 1580049 2106732 2276427 3035236 3160098 3279721 4552854 6320196 6559442 6829281 9105708 9839163 13118884 13658562 19678326 27317124 29517489 39356652 59034978 118069956 317940971 635881942 953822913 1271763884 1374203099 1907645826 2748406198 2861468739 3815291652 4122609297 5496812396 5722937478 8245218594 11445874956 12367827891 16490437188 24735655782 49471311564 575791098481 1151582196962 1727373295443 2303164393924 3454746590886 5182119886329 6909493181772 10364239772658 20728479545316