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189938185632 = 2537132329313
BaseRepresentation
bin1011000011100100110…
…0101011010110100000
3200011021010012120000000
42300321030223112200
511102443133420012
6223131214300000
716502562640146
oct2607114532640
9604233176000
10189938185632
1173609177138
1230989ab7600
1314bac89ac70
14929ba6b596
154e19e55ddc
hex2c3932b5a0

189938185632 has 768 divisors, whose sum is σ = 654040396800. Its totient is φ = 53801459712.

The previous prime is 189938185627. The next prime is 189938185637. The reversal of 189938185632 is 236581839981.

It is an interprime number because it is at equal distance from previous prime (189938185627) and next prime (189938185637).

It is a super-2 number, since 2×1899381856322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 189938185632.

It is not an unprimeable number, because it can be changed into a prime (189938185637) 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 127 ways as a sum of consecutive naturals, for example, 606831108 + ... + 606831420.

It is an arithmetic number, because the mean of its divisors is an integer number (851615100).

Almost surely, 2189938185632 is an apocalyptic number.

189938185632 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 189938185632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327020198400).

189938185632 is an abundant number, since it is smaller than the sum of its proper divisors (464102211168).

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

189938185632 is a wasteful number, since it uses less digits than its factorization.

189938185632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 189938185632 in words is "one hundred eighty-nine billion, nine hundred thirty-eight million, one hundred eighty-five thousand, six hundred thirty-two".