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189070934832 = 243413217229103
BaseRepresentation
bin1011000000010110000…
…0011000001100110000
3200002000200022122120000
42300011200120030300
511044204124403312
6222505154150000
716442232300153
oct2600540301460
9602020278500
10189070934832
117320368283a
1230787582300
1314aa1ccca00
1492187d7c9a
154db8c47adc
hex2c05818330

189070934832 has 900 divisors, whose sum is σ = 657492984720. Its totient is φ = 52352262144.

The previous prime is 189070934797. The next prime is 189070934863. The reversal of 189070934832 is 238439070981.

189070934832 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 70 + 93 + 483 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1835640093 + ... + 1835640195.

Almost surely, 2189070934832 is an apocalyptic number.

189070934832 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 189070934832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328746492360).

189070934832 is an abundant number, since it is smaller than the sum of its proper divisors (468422049888).

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

189070934832 is a wasteful number, since it uses less digits than its factorization.

189070934832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 189070934832 in words is "one hundred eighty-nine billion, seventy million, nine hundred thirty-four thousand, eight hundred thirty-two".