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187381630920 = 233511267192613
BaseRepresentation
bin1010111010000011010…
…0001100011111001000
3122220122221121010020110
42232200310030133020
511032224144142140
6222025410354320
716352330403651
oct2564064143710
9586587533213
10187381630920
1172517055800
123039588b9a0
1314893029ab3
1490d82d8528
154d1a7a8380
hex2ba0d0c7c8

187381630920 has 192 divisors, whose sum is σ = 627120365760. Its totient is φ = 44747619840.

The previous prime is 187381630907. The next prime is 187381630939. The reversal of 187381630920 is 29036183781.

It is a super-2 number, since 2×1873816309202 (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 187381630920.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 876534 + ... + 1069146.

It is an arithmetic number, because the mean of its divisors is an integer number (3266251905).

Almost surely, 2187381630920 is an apocalyptic number.

187381630920 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 187381630920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313560182880).

187381630920 is an abundant number, since it is smaller than the sum of its proper divisors (439738734840).

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

187381630920 is a wasteful number, since it uses less digits than its factorization.

187381630920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192716 (or 192701 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 187381630920 in words is "one hundred eighty-seven billion, three hundred eighty-one million, six hundred thirty thousand, nine hundred twenty".