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155088256752 = 24321113311271913
BaseRepresentation
bin1001000001101111111…
…0101111111011110000
3112211022100220201221100
42100123332233323300
510020110043204002
6155125131324400
714130142301022
oct2203376577360
9484270821840
10155088256752
115a855306820
12260828b0700
131181779c680
147713468012
15407a66b11c
hex241bfafef0

155088256752 has 480 divisors, whose sum is σ = 530782027776. Its totient is φ = 41629593600.

The previous prime is 155088256717. The next prime is 155088256819. The reversal of 155088256752 is 257652880551.

155088256752 is a `hidden beast` number, since 1 + 5 + 508 + 8 + 25 + 67 + 52 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81069748 + ... + 81071660.

Almost surely, 2155088256752 is an apocalyptic number.

155088256752 is a gapful number since it is divisible by the number (12) 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 155088256752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265391013888).

155088256752 is an abundant number, since it is smaller than the sum of its proper divisors (375693771024).

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

155088256752 is a wasteful number, since it uses less digits than its factorization.

155088256752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 155088256752 in words is "one hundred fifty-five billion, eighty-eight million, two hundred fifty-six thousand, seven hundred fifty-two".