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147689107328000 = 21053719233471087
BaseRepresentation
bin100001100101001010001100…
…110001111000110000000000
3201100220221101211012211211002
4201211022030301320300000
5123324214242433444000
61242035234514111132
743052120521142510
oct4145121461706000
9640827354184732
10147689107328000
1143070664926517
121469317b27b4a8
13645403b8896c4
142868295cd5840
151211aec8548d5
hex86528cc78c00

147689107328000 has 1408 divisors, whose sum is σ = 464281955205120. Its totient is φ = 45711168307200.

The previous prime is 147689107327933. The next prime is 147689107328041. The reversal of 147689107328000 is 823701986741.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 135868543457 + ... + 135868544543.

Almost surely, 2147689107328000 is an apocalyptic number.

147689107328000 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 147689107328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232140977602560).

147689107328000 is an abundant number, since it is smaller than the sum of its proper divisors (316592847877120).

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

147689107328000 is a wasteful number, since it uses less digits than its factorization.

147689107328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 147689107328000 in words is "one hundred forty-seven trillion, six hundred eighty-nine billion, one hundred seven million, three hundred twenty-eight thousand".