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255342105108 = 22351621162059
BaseRepresentation
bin1110110111001110010…
…0110101001000010100
3220102002020012220200000
43231303210311020110
513140420034330413
6313145203251300
724306421040136
oct3556344651024
9812066186600
10255342105108
1199320a63952
12415a1679b30
131b103a6b32c
14c5040c7056
156996cea073
hex3b73935214

255342105108 has 72 divisors (see below), whose sum is σ = 669770643360. Its totient is φ = 85061003040.

The previous prime is 255342105037. The next prime is 255342105119. The reversal of 255342105108 is 801501243552.

255342105108 is a `hidden beast` number, since 2 + 5 + 534 + 2 + 10 + 5 + 108 = 666.

255342105108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2553421051083 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1494583 + ... + 1656641.

Almost surely, 2255342105108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255342105108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334885321680).

255342105108 is an abundant number, since it is smaller than the sum of its proper divisors (414428538252).

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

255342105108 is a wasteful number, since it uses less digits than its factorization.

255342105108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163699 (or 163685 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 255342105108 in words is "two hundred fifty-five billion, three hundred forty-two million, one hundred five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1621 3242 4863 6484 9726 14589 19452 29178 43767 58356 87534 131301 162059 175068 262602 324118 393903 486177 525204 648236 787806 972354 1458531 1575612 1944708 2917062 4375593 5834124 8751186 13126779 17502372 26253558 39380337 52507116 78760674 157521348 262697639 525395278 788092917 1050790556 1576185834 2364278751 3152371668 4728557502 7092836253 9457115004 14185672506 21278508759 28371345012 42557017518 63835526277 85114035036 127671052554 255342105108