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152227416000 = 26353111972927
BaseRepresentation
bin1000110111000101110…
…1100000011111000000
3112112220222201222012110
42031301131200133000
54443230204303000
6153533213455320
713666223454312
oct2156135403700
9475828658173
10152227416000
1159617453820
12256047a1540
131147cb8c8aa
1475215277b2
153e5e414850
hex23717607c0

152227416000 has 448 divisors, whose sum is σ = 551322630144. Its totient is φ = 36703744000.

The previous prime is 152227415993. The next prime is 152227416001. The reversal of 152227416000 is 614722251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152227416001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 52006537 + ... + 52009463.

Almost surely, 2152227416000 is an apocalyptic number.

152227416000 is a gapful number since it is divisible by the number (10) 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 152227416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275661315072).

152227416000 is an abundant number, since it is smaller than the sum of its proper divisors (399095214144).

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

152227416000 is a wasteful number, since it uses less digits than its factorization.

152227416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 152227416000 in words is "one hundred fifty-two billion, two hundred twenty-seven million, four hundred sixteen thousand".