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197640890624 = 285314566693
BaseRepresentation
bin1011100000010001010…
…0001010100100000000
3200220010221012111211002
42320010110022210000
511214232031444444
6230443414111132
720164503565052
oct2700424124400
9626127174732
10197640890624
1176901148431
123237964b4a8
131583964c578
1497cca678d2
15521b2c8d4e
hex2e0450a900

197640890624 has 36 divisors (see below), whose sum is σ = 401953354236. Its totient is φ = 96955901952.

The previous prime is 197640890599. The next prime is 197640890627. The reversal of 197640890624 is 426098046791.

197640890624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 165785780224 + 31855110400 = 407168^2 + 178480^2 .

It is a super-2 number, since 2×1976408906242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 197640890624.

It is not an unprimeable number, because it can be changed into a prime (197640890627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7269779 + ... + 7296914.

It is an arithmetic number, because the mean of its divisors is an integer number (11165370951).

Almost surely, 2197640890624 is an apocalyptic number.

It is an amenable number.

197640890624 is an abundant number, since it is smaller than the sum of its proper divisors (204312463612).

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

197640890624 is an equidigital number, since it uses as much as digits as its factorization.

197640890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14566762 (or 14566748 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 197640890624 in words is "one hundred ninety-seven billion, six hundred forty million, eight hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 14566693 29133386 58266772 116533544 233067088 466134176 772034729 932268352 1544069458 1864536704 3088138916 3729073408 6176277832 12352555664 24705111328 49410222656 98820445312 197640890624