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16453877970244 = 2211213410912
BaseRepresentation
bin1110111101101111011110…
…0011010011010101000100
32011020222100001020122102211
43233123313203103111010
54124040020230021434
654554450204113204
73315516302062111
oct357336743232504
964228301218384
1016453877970244
115274061187300
121a18a56535804
13924795130000
1440c52c87b908
151d800a837464
hexef6f78d3544

16453877970244 has 135 divisors (see below), whose sum is σ = 34318775225483. Its totient is φ = 6897397135200.

The previous prime is 16453877970217. The next prime is 16453877970247. The reversal of 16453877970244 is 44207977835461.

The square root of 16453877970244 is 4056338.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8158095512644 + 8295782457600 = 2856238^2 + 2880240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16453877970244.

It is not an unprimeable number, because it can be changed into a prime (16453877970247) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15081464139 + ... + 15081465229.

It is a 1-persistent number, because it is pandigital, but 2⋅16453877970244 = 32907755940488 is not.

Almost surely, 216453877970244 is an apocalyptic number.

16453877970244 is the 4056338-th square number.

It is an amenable number.

16453877970244 is an abundant number, since it is smaller than the sum of its proper divisors (17864897255239).

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

16453877970244 is an frugal number, since it uses more digits than its factorization.

16453877970244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 67.

The spelling of 16453877970244 in words is "sixteen trillion, four hundred fifty-three billion, eight hundred seventy-seven million, nine hundred seventy thousand, two hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1091 1573 1859 2182 2197 3146 3718 4364 4394 6292 7436 8788 12001 14183 20449 24002 24167 28366 28561 40898 48004 48334 56732 57122 81796 96668 114244 132011 156013 184379 264022 265837 312026 314171 368758 528044 531674 624052 628342 737516 1063348 1190281 1256684 1716143 2028169 2380562 2396927 3432286 3455881 4056338 4761124 4793854 6864572 6911762 8112676 9587708 13093091 13823524 15473653 22309859 26186182 26366197 30947306 31160051 44619718 52372364 52732394 61894612 62320102 89239436 105464788 124640204 144024001 170210183 201157489 288048002 290028167 340420366 342760561 402314978 576096004 580056334 680840732 685521122 804629956 1160112668 1371042244 1872312013 2212732379 2615047357 3744624026 3770366171 4425464758 5230094714 7489248052 7540732342 8850929516 10460189428 15081464684 24340056169 28765520927 33995615641 48680112338 57531041854 67991231282 97360224676 115062083708 135982462564 316420730197 373951772051 632841460394 747903544102 1265682920788 1495807088204 4113469492561 8226938985122 16453877970244