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253020144195 = 32571361787581
BaseRepresentation
bin1110101110100100101…
…1010000001001000011
3220012002102001002002200
43223221023100021003
513121141124103240
6312122535444243
724165034511610
oct3535113201103
9805072032080
10253020144195
119833a303295
1241053b26683
131ab239a7370
14c36397d507
1568ad03b930
hex3ae92d0243

253020144195 has 48 divisors (see below), whose sum is σ = 539776316352. Its totient is φ = 106768938240.

The previous prime is 253020144193. The next prime is 253020144199. The reversal of 253020144195 is 591441020352.

253020144195 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 201 + 441 + 9 + 5 = 666.

It is not a de Polignac number, because 253020144195 - 21 = 253020144193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253020144193) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30889696 + ... + 30897885.

It is an arithmetic number, because the mean of its divisors is an integer number (11245339924).

Almost surely, 2253020144195 is an apocalyptic number.

253020144195 is an abundant number, since it is smaller than the sum of its proper divisors (286756172157).

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

253020144195 is a wasteful number, since it uses less digits than its factorization.

253020144195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61787612 (or 61787609 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 253020144195 in words is "two hundred fifty-three billion, twenty million, one hundred forty-four thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 61787581 185362743 308937905 432513067 556088229 803238553 926813715 1297539201 2162565335 2409715659 2780441145 3892617603 4016192765 5622669871 6487696005 7229146977 12048578295 16868009613 19463088015 28113349355 36145734885 50604028839 84340048065 253020144195