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133135155551016 = 233213114115262463
BaseRepresentation
bin11110010001010111110001…
…101001110101101100101000
3122110101121002220021221021200
4132101113301221311230220
5114422241244310113031
61151053240210004200
740020461160200103
oct3621276151655450
9573347086257250
10133135155551016
113946a3365338a3
1212b2259a276660
13593978c10bbc8
1424c3ac115373a
15105d23e5818e6
hex7915f1a75b28

133135155551016 has 48 divisors (see below), whose sum is σ = 363326855823360. Its totient is φ = 44039618881440.

The previous prime is 133135155550987. The next prime is 133135155551017. The reversal of 133135155551016 is 610155551531331.

It is a happy number.

133135155551016 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 35 + 1 + 55 + 551 + 0 + 16 = 666.

It is a super-3 number, since 3×1331351555510163 (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (133135155551017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7057621800 + ... + 7057640663.

It is an arithmetic number, because the mean of its divisors is an integer number (7569309496320).

Almost surely, 2133135155551016 is an apocalyptic number.

It is an amenable number.

133135155551016 is an abundant number, since it is smaller than the sum of its proper divisors (230191700272344).

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

133135155551016 is a wasteful number, since it uses less digits than its factorization.

133135155551016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14115262606 (or 14115262599 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 45.

The spelling of 133135155551016 in words is "one hundred thirty-three trillion, one hundred thirty-five billion, one hundred fifty-five million, five hundred fifty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 14115262463 28230524926 42345787389 56461049852 84691574778 112922099704 127037362167 169383149556 254074724334 338766299112 508149448668 1016298897336 1849099382653 3698198765306 5547298147959 7396397530612 11094596295918 14792795061224 16641894443877 22189192591836 33283788887754 44378385183672 66567577775508 133135155551016