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154076201136 = 2433111319149881
BaseRepresentation
bin1000111101111110101…
…0000100000010110000
3112201200211112222122000
42033133222010002300
510011022001414021
6154440455414000
714063103046404
oct2173752040260
9481624488560
10154076201136
115a385aa9420
1225a3b984300
13116b5c010b0
147658c9d104
15401b8a7b26
hex23dfa840b0

154076201136 has 640 divisors, whose sum is σ = 551214720000. Its totient is φ = 40509849600.

The previous prime is 154076201101. The next prime is 154076201177. The reversal of 154076201136 is 631102670451.

154076201136 is a `hidden beast` number, since 1 + 540 + 76 + 2 + 0 + 11 + 36 = 666.

It is a super-2 number, since 2×1540762011362 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 154076201136.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 174887416 + ... + 174888296.

It is an arithmetic number, because the mean of its divisors is an integer number (861273000).

Almost surely, 2154076201136 is an apocalyptic number.

154076201136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154076201136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360000).

154076201136 is an abundant number, since it is smaller than the sum of its proper divisors (397138518864).

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

154076201136 is a wasteful number, since it uses less digits than its factorization.

154076201136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 154076201136 its reverse (631102670451), we get a palindrome (785178871587).

The spelling of 154076201136 in words is "one hundred fifty-four billion, seventy-six million, two hundred one thousand, one hundred thirty-six".