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290880060192 = 25321759411777
BaseRepresentation
bin1000011101110011100…
…11010111101100100000
31000210210221011002020200
410032321303113230200
514231210243411232
6341343425105200
730005164500501
oct4167163275440
91023727132220
10290880060192
111023a8235567
124845b188200
1321578575c17
1410115c28ba8
157876bde77c
hex43b9cd7b20

290880060192 has 72 divisors (see below), whose sum is σ = 875848431276. Its totient is φ = 91256487936.

The previous prime is 290880060173. The next prime is 290880060199. The reversal of 290880060192 is 291060088092.

It can be written as a sum of positive squares in 2 ways, for example, as 262344742416 + 28535317776 = 512196^2 + 168924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2908800601922 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290880060199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29700993 + ... + 29710784.

Almost surely, 2290880060192 is an apocalyptic number.

It is an amenable number.

290880060192 is an abundant number, since it is smaller than the sum of its proper divisors (584968371084).

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

290880060192 is a wasteful number, since it uses less digits than its factorization.

290880060192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59411810 (or 59411799 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 290880060192 in words is "two hundred ninety billion, eight hundred eighty million, sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 59411777 118823554 178235331 237647108 356470662 475294216 534705993 712941324 950588432 1010000209 1069411986 1425882648 1901176864 2020000418 2138823972 2851765296 3030000627 4040000836 4277647944 5703530592 6060001254 8080001672 8555295888 9090001881 12120002508 16160003344 17110591776 18180003762 24240005016 32320006688 36360007524 48480010032 72720015048 96960020064 145440030096 290880060192