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189874072332 = 223273194671733
BaseRepresentation
bin1011000011010101100…
…0000110101100001100
3200011002122120021002100
42300311120012230030
511102330230303312
6223121004155100
716501153662000
oct2606530065414
9604078507070
10189874072332
1173585a6693a
1230970538a90
1314b9c5109b9
14929333c700
154e144de5dc
hex2c35606b0c

189874072332 has 288 divisors, whose sum is σ = 590780736000. Its totient is φ = 51254840448.

The previous prime is 189874072307. The next prime is 189874072357. The reversal of 189874072332 is 233270478981.

189874072332 is a `hidden beast` number, since 189 + 8 + 7 + 407 + 23 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (189874072307) and next prime (189874072357).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109562938 + ... + 109564670.

It is an arithmetic number, because the mean of its divisors is an integer number (2051322000).

Almost surely, 2189874072332 is an apocalyptic number.

189874072332 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 189874072332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295390368000).

189874072332 is an abundant number, since it is smaller than the sum of its proper divisors (400906663668).

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

189874072332 is a wasteful number, since it uses less digits than its factorization.

189874072332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 189874072332 in words is "one hundred eighty-nine billion, eight hundred seventy-four million, seventy-two thousand, three hundred thirty-two".