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154880136828 = 223317373895861
BaseRepresentation
bin1001000000111110010…
…0110101011001111100
3112210202212022011002000
42100033210311121330
510014143303334303
6155052334502300
714122034304264
oct2201744653174
9483685264060
10154880136828
115a75888818a
1226025064990
13117b36314a1
1476d39707a4
15406725ada3
hex240f93567c

154880136828 has 192 divisors, whose sum is σ = 437849193600. Its totient is φ = 47147028480.

The previous prime is 154880136809. The next prime is 154880136863. The reversal of 154880136828 is 828631088451.

154880136828 is a `hidden beast` number, since 1 + 5 + 488 + 0 + 136 + 8 + 28 = 666.

154880136828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 26422618 + ... + 26428478.

It is an arithmetic number, because the mean of its divisors is an integer number (2280464550).

Almost surely, 2154880136828 is an apocalyptic number.

154880136828 is a gapful number since it is divisible by the number (18) 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 154880136828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218924596800).

154880136828 is an abundant number, since it is smaller than the sum of its proper divisors (282969056772).

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

154880136828 is a wasteful number, since it uses less digits than its factorization.

154880136828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 154880136828 in words is "one hundred fifty-four billion, eight hundred eighty million, one hundred thirty-six thousand, eight hundred twenty-eight".