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73575341857242 = 232291251191126519
BaseRepresentation
bin10000101110101010011000…
…000111011001100111011010
3100122111201211002002122220100
4100232222120013121213122
534120424300003412432
6420252013451440230
721332433363005121
oct2056523007314732
9318451732078810
1073575341857242
1121497144411815
128303489156076
133209181722694
1414250cbc06ab8
15878ce441107c
hex42ea981d99da

73575341857242 has 48 divisors (see below), whose sum is σ = 164911713408000. Its totient is φ = 23679210092832.

The previous prime is 73575341857217. The next prime is 73575341857309. The reversal of 73575341857242 is 24275814357537.

73575341857242 is a `hidden beast` number, since 7 + 3 + 5 + 7 + 5 + 3 + 4 + 18 + 572 + 42 = 666.

73575341857242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73575341857242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64748859 + ... + 65875377.

It is an arithmetic number, because the mean of its divisors is an integer number (3435660696000).

Almost surely, 273575341857242 is an apocalyptic number.

73575341857242 is an abundant number, since it is smaller than the sum of its proper divisors (91336371550758).

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

73575341857242 is a wasteful number, since it uses less digits than its factorization.

73575341857242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251675 (or 1251672 counting only the distinct ones).

The product of its digits is 197568000, while the sum is 63.

The spelling of 73575341857242 in words is "seventy-three trillion, five hundred seventy-five billion, three hundred forty-one million, eight hundred fifty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 125119 250238 375357 750714 1126071 1126519 2252142 2253038 3379557 3628451 6759114 7256902 10138671 10885353 20277342 21770706 32656059 32669051 65312118 65338102 98007153 196014306 294021459 588042918 140948930761 281897861522 422846792283 845693584566 1268540376849 2537080753698 4087518992069 8175037984138 12262556976207 24525113952414 36787670928621 73575341857242