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21799380435516 = 223210612963192617
BaseRepresentation
bin1001111010011100100000…
…10100111100001000111100
32212012000000022012112102200
410331032100110330020330
510324130112342414031
6114210255213351500
74406644653250335
oct475162024741074
985160008175380
1021799380435516
116a45079a46762
122540a48498590
13c21899070228
1455514a62d28c
1527c0ba3098e6
hex13d39053c23c

21799380435516 has 72 divisors (see below), whose sum is σ = 55174826672784. Its totient is φ = 7257123690240.

The previous prime is 21799380435509. The next prime is 21799380435541. The reversal of 21799380435516 is 61553408399712.

21799380435516 is a `hidden beast` number, since 2 + 1 + 7 + 9 + 9 + 3 + 80 + 4 + 35 + 516 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113078440 + ... + 113271056.

It is an arithmetic number, because the mean of its divisors is an integer number (766317037122).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21799380435516 = 43598760871032, but 3⋅21799380435516 = 65398141306548 is not.

Almost surely, 221799380435516 is an apocalyptic number.

It is an amenable number.

21799380435516 is an abundant number, since it is smaller than the sum of its proper divisors (33375446237268).

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

21799380435516 is a wasteful number, since it uses less digits than its factorization.

21799380435516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196651 (or 196646 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 21799380435516 in words is "twenty-one trillion, seven hundred ninety-nine billion, three hundred eighty million, four hundred thirty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1061 2122 2963 3183 4244 5926 6366 8889 9549 11852 12732 17778 19098 26667 35556 38196 53334 106668 192617 385234 577851 770468 1155702 1733553 2311404 3143743 3467106 6287486 6934212 9431229 12574972 18862458 28293687 37724916 56587374 113174748 204366637 408733274 570724171 613099911 817466548 1141448342 1226199822 1712172513 1839299733 2282896684 2452399644 3424345026 3678599466 5136517539 6848690052 7357198932 10273035078 20546070156 605538345431 1211076690862 1816615036293 2422153381724 3633230072586 5449845108879 7266460145172 10899690217758 21799380435516