Search a number
-
+
189536893920 = 253351117832237
BaseRepresentation
bin1011000010000101000…
…1110111101111100000
3200010020011002211021000
42300201101313233200
511101132421101140
6223023321232000
716456621005363
oct2604121675740
9603204084230
10189536893920
11734226a97a0
1230897632600
1314b476c674a
14926064c0da
154de4ad9a30
hex2c21477be0

189536893920 has 384 divisors, whose sum is σ = 724415892480. Its totient is φ = 45902039040.

The previous prime is 189536893913. The next prime is 189536893939. The reversal of 189536893920 is 29398635981.

189536893920 is a `hidden beast` number, since 1 + 8 + 9 + 536 + 8 + 9 + 3 + 92 + 0 = 666.

It is a congruent number.

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, 84727042 + ... + 84729278.

It is an arithmetic number, because the mean of its divisors is an integer number (1886499720).

Almost surely, 2189536893920 is an apocalyptic number.

189536893920 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 189536893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362207946240).

189536893920 is an abundant number, since it is smaller than the sum of its proper divisors (534878998560).

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

189536893920 is a wasteful number, since it uses less digits than its factorization.

189536893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 189536893920 in words is "one hundred eighty-nine billion, five hundred thirty-six million, eight hundred ninety-three thousand, nine hundred twenty".