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21345794404 = 221122922292
BaseRepresentation
bin10011111000010011…
…101111100101100100
32001002121212201002221
4103320103233211210
5322204010410104
613450042242124
71353653154514
oct237023574544
961077781087
1021345794404
119064165300
1241787b6344
13202245799c
141066d27844
1584dea4c54
hex4f84ef964

21345794404 has 81 divisors (see below), whose sum is σ = 42710966571. Its totient is φ = 9327151680.

The previous prime is 21345794387. The next prime is 21345794411. The reversal of 21345794404 is 40449754312.

The square root of 21345794404 is 146102.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5730792804 + 15615001600 = 75702^2 + 124960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93212962 + ... + 93213190.

Almost surely, 221345794404 is an apocalyptic number.

21345794404 is the 146102-nd square number.

It is an amenable number.

21345794404 is an abundant number, since it is smaller than the sum of its proper divisors (21365172167).

21345794404 is a wasteful number, since it uses less digits than its factorization.

21345794404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 21345794404 in words is "twenty-one billion, three hundred forty-five million, seven hundred ninety-four thousand, four hundred four".

Divisors: 1 2 4 11 22 29 44 58 116 121 229 242 319 458 484 638 841 916 1276 1682 2519 3364 3509 5038 6641 7018 9251 10076 13282 14036 18502 26564 27709 37004 52441 55418 73051 101761 104882 110836 146102 192589 203522 209764 292204 385178 407044 576851 770356 803561 1153702 1520789 1607122 2118479 2307404 3041578 3214244 4236958 6083156 6345361 8473916 12690722 16728679 23303269 25381444 33457358 44102881 46606538 66914716 88205762 93213076 176411524 184015469 368030938 485131691 736061876 970263382 1940526764 5336448601 10672897202 21345794404