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189632042952 = 23311171371791723
BaseRepresentation
bin1011000010011011110…
…0110101011111001000
3200010110210010220012020
42300212330311133020
511101331300333302
6223041000444440
716462154524662
oct2604674653710
9603423126166
10189632042952
1173471387660
1230903479720
1314b6132c251
14926d139532
154ded131ebc
hex2c26f357c8

189632042952 has 256 divisors, whose sum is σ = 555001113600. Its totient is φ = 53358305280.

The previous prime is 189632042893. The next prime is 189632043031. The reversal of 189632042952 is 259240236981.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 189632042895 and 189632042904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110058363 + ... + 110060085.

It is an arithmetic number, because the mean of its divisors is an integer number (2167973100).

Almost surely, 2189632042952 is an apocalyptic number.

189632042952 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 189632042952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277500556800).

189632042952 is an abundant number, since it is smaller than the sum of its proper divisors (365369070648).

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

189632042952 is a wasteful number, since it uses less digits than its factorization.

189632042952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 189632042952 in words is "one hundred eighty-nine billion, six hundred thirty-two million, forty-two thousand, nine hundred fifty-two".