Search a number
-
+
188904985920 = 26345719371481
BaseRepresentation
bin1010111111101110011…
…1010101010101000000
3200001121010001120110000
42233323213111111000
511043334134022140
6222440505240000
716435145613120
oct2577347252500
9601533046400
10188904985920
1173128a37982
123073ba93000
1314a768085a1
14920075ac80
154da93b7a30
hex2bfb9d5540

188904985920 has 1120 divisors, whose sum is σ = 830791653120. Its totient is φ = 39773306880.

The previous prime is 188904985897. The next prime is 188904985931. The reversal of 188904985920 is 29589409881.

188904985920 is a `hidden beast` number, since 1 + 8 + 8 + 90 + 498 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 127551580 + ... + 127553060.

Almost surely, 2188904985920 is an apocalyptic number.

188904985920 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 188904985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415395826560).

188904985920 is an abundant number, since it is smaller than the sum of its proper divisors (641886667200).

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

188904985920 is a wasteful number, since it uses less digits than its factorization.

188904985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 188904985920 in words is "one hundred eighty-eight billion, nine hundred four million, nine hundred eighty-five thousand, nine hundred twenty".