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189501232032 = 253271753104327
BaseRepresentation
bin1011000001111100100…
…1110101001110100000
3200010010200000000100100
42300133021311032200
511101044303411112
6223020005022400
716456005616020
oct2603711651640
9603120000310
10189501232032
1173404561462
12308876b4a00
1314b401bb638
149259a07a80
154de18e32dc
hex2c1f2753a0

189501232032 has 288 divisors, whose sum is σ = 664417458432. Its totient is φ = 49996357632.

The previous prime is 189501231991. The next prime is 189501232033. The reversal of 189501232032 is 230232105981.

189501232032 is a `hidden beast` number, since 1 + 89 + 501 + 23 + 20 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (189501232033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1764253 + ... + 1868579.

It is an arithmetic number, because the mean of its divisors is an integer number (2307005064).

Almost surely, 2189501232032 is an apocalyptic number.

189501232032 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 189501232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332208729216).

189501232032 is an abundant number, since it is smaller than the sum of its proper divisors (474916226400).

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

189501232032 is a wasteful number, since it uses less digits than its factorization.

189501232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104420 (or 104409 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 189501232032 in words is "one hundred eighty-nine billion, five hundred one million, two hundred thirty-two thousand, thirty-two".