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290513551616 = 281766754033
BaseRepresentation
bin1000011101000111111…
…01010000000100000000
31000202212101111111222222
410032203331100010000
514224432432122431
6341243213350212
726663124305411
oct4164375200400
91022771444888
10290513551616
1110222a365212
1248378498368
132151a65c842
14100bd2a1808
15785494457b
hex43a3f50100

290513551616 has 36 divisors (see below), whose sum is σ = 614003604732. Its totient is φ = 136712257536.

The previous prime is 290513551577. The next prime is 290513551619. The reversal of 290513551616 is 616155315092.

It can be written as a sum of positive squares in 2 ways, for example, as 240194089216 + 50319462400 = 490096^2 + 224320^2 .

It is a super-2 number, since 2×2905135516162 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (290513551619) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33372665 + ... + 33381368.

It is an arithmetic number, because the mean of its divisors is an integer number (17055655687).

Almost surely, 2290513551616 is an apocalyptic number.

It is an amenable number.

290513551616 is an abundant number, since it is smaller than the sum of its proper divisors (323490053116).

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

290513551616 is an equidigital number, since it uses as much as digits as its factorization.

290513551616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66754066 (or 66754052 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 44.

The spelling of 290513551616 in words is "two hundred ninety billion, five hundred thirteen million, five hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 66754033 133508066 267016132 534032264 1068064528 1134818561 2136129056 2269637122 4272258112 4539274244 8544516224 9078548488 17089032448 18157096976 36314193952 72628387904 145256775808 290513551616