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152180743680 = 293357314527
BaseRepresentation
bin1000110110111010101…
…1011101111000000000
3112112210201220202211000
42031232223131320000
54443131232244210
6153524425252000
713665115656360
oct2155653357000
9475721822730
10152180743680
11595a3076159
12255b1034000
13114732cb034
1475192589a0
153e5a295ac0
hex236eadde00

152180743680 has 320 divisors, whose sum is σ = 617783316480. Its totient is φ = 34784059392.

The previous prime is 152180743639. The next prime is 152180743699. The reversal of 152180743680 is 86347081251.

152180743680 is a `hidden beast` number, since 1 + 5 + 218 + 0 + 74 + 368 + 0 = 666.

152180743680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 326577 + ... + 641103.

It is an arithmetic number, because the mean of its divisors is an integer number (1930572864).

Almost surely, 2152180743680 is an apocalyptic number.

152180743680 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 152180743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308891658240).

152180743680 is an abundant number, since it is smaller than the sum of its proper divisors (465602572800).

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

152180743680 is an equidigital number, since it uses as much as digits as its factorization.

152180743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314566 (or 314544 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 152180743680 in words is "one hundred fifty-two billion, one hundred eighty million, seven hundred forty-three thousand, six hundred eighty".