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290858477969 = 3133373497901
BaseRepresentation
bin1000011101110001000…
…01000010100110010001
31000210202102112121000002
410032320201002212101
514231134232243334
6341341334335345
730004513161533
oct4167041024621
91023672477002
10290858477969
11102397034514
1248453aba555
1321573c5a587
141011300b853
157874d79b7e
hex43b8842991

290858477969 has 16 divisors (see below), whose sum is σ = 293529272400. Its totient is φ = 288204134400.

The previous prime is 290858477953. The next prime is 290858477999. The reversal of 290858477969 is 969774858092.

It can be written as a sum of positive squares in 8 ways, for example, as 18478867969 + 272379610000 = 135937^2 + 521900^2 .

It is a cyclic number.

It is not a de Polignac number, because 290858477969 - 24 = 290858477953 is a prime.

It is a super-2 number, since 2×2908584779692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 290858477896 and 290858477905.

It is not an unprimeable number, because it can be changed into a prime (290858477999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36808919 + ... + 36816819.

It is an arithmetic number, because the mean of its divisors is an integer number (18345579525).

Almost surely, 2290858477969 is an apocalyptic number.

It is an amenable number.

290858477969 is a deficient number, since it is larger than the sum of its proper divisors (2670794431).

290858477969 is a wasteful number, since it uses less digits than its factorization.

290858477969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900.

The product of its (nonzero) digits is 548674560, while the sum is 74.

The spelling of 290858477969 in words is "two hundred ninety billion, eight hundred fifty-eight million, four hundred seventy-seven thousand, nine hundred sixty-nine".

Divisors: 1 313 337 349 7901 105481 109237 117613 2473013 2662637 2757449 36812869 833405381 863081537 929260313 290858477969