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354255041052 = 223311227108589
BaseRepresentation
bin1010010011110110011…
…11101111001000011100
31020212101122100200101000
411021323033233020130
521301003242303202
6430424214550300
734410525110523
oct5117317571034
91225348320330
10354255041052
1112726980a700
12587a7368390
13275382a90b3
1413208a154ba
1593358a691c
hex527b3ef21c

354255041052 has 72 divisors (see below), whose sum is σ = 1009523891600. Its totient is φ = 107350008480.

The previous prime is 354255041033. The next prime is 354255041069. The reversal of 354255041052 is 250140552453.

354255041052 is a `hidden beast` number, since 3 + 5 + 42 + 5 + 504 + 105 + 2 = 666.

It is a super-3 number, since 3×3542550410523 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 354255040998 and 354255041016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13541227 + ... + 13567362.

Almost surely, 2354255041052 is an apocalyptic number.

It is an amenable number.

354255041052 is an abundant number, since it is smaller than the sum of its proper divisors (655268850548).

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

354255041052 is a wasteful number, since it uses less digits than its factorization.

354255041052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27108624 (or 27108605 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 354255041052 in words is "three hundred fifty-four billion, two hundred fifty-five million, forty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 27108589 54217178 81325767 108434356 162651534 243977301 298194479 325303068 487954602 596388958 731931903 894583437 975909204 1192777916 1463863806 1789166874 2683750311 2927727612 3280139269 3578333748 5367500622 6560278538 8051250933 9840417807 10735001244 13120557076 16102501866 19680835614 29521253421 32205003732 39361671228 59042506842 88563760263 118085013684 177127520526 354255041052