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290400543025 = 52372511250783
BaseRepresentation
bin1000011100111010011…
…10001010000100110001
31000202120111212002100121
410032131032022010301
514224220014334100
6341224055250241
726660252613325
oct4163516120461
91022514762317
10290400543025
1110218159918a
1248346679981
1321500112c58
14100ac285985
157849a7051a
hex439d38a131

290400543025 has 24 divisors (see below), whose sum is σ = 371302735104. Its totient is φ = 225140760000.

The previous prime is 290400542963. The next prime is 290400543089. The reversal of 290400543025 is 520345004092.

It is not a de Polignac number, because 290400543025 - 27 = 290400542897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393217 + ... + 857566.

It is an arithmetic number, because the mean of its divisors is an integer number (15470947296).

Almost surely, 2290400543025 is an apocalyptic number.

290400543025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

290400543025 is a deficient number, since it is larger than the sum of its proper divisors (80902192079).

290400543025 is a wasteful number, since it uses less digits than its factorization.

290400543025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251081 (or 1251076 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 290400543025 in words is "two hundred ninety billion, four hundred million, five hundred forty-three thousand, twenty-five".

Divisors: 1 5 25 37 185 251 925 1255 6275 9287 46435 232175 1250783 6253915 31269575 46278971 231394855 313946533 1156974275 1569732665 7848663325 11616021721 58080108605 290400543025