Search a number
-
+
187411940352 = 2103371374489
BaseRepresentation
bin1010111010001010011…
…1110100010000000000
3122220202001121222222000
42232202213310100000
511032304424042402
6222032412144000
716353146131440
oct2564247642000
9586661558860
10187411940352
117253217771a
12303a3a68000
13148993ac880
1490dc348120
154d1d293c1c
hex2ba29f4400

187411940352 has 352 divisors, whose sum is σ = 683115014400. Its totient is φ = 49426661376.

The previous prime is 187411940341. The next prime is 187411940377. The reversal of 187411940352 is 253049114781.

187411940352 is a `hidden beast` number, since 1 + 87 + 4 + 119 + 403 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 187411940298 and 187411940307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2478724 + ... + 2553212.

Almost surely, 2187411940352 is an apocalyptic number.

187411940352 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 187411940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341557507200).

187411940352 is an abundant number, since it is smaller than the sum of its proper divisors (495703074048).

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

187411940352 is a wasteful number, since it uses less digits than its factorization.

187411940352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74538 (or 74514 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 187411940352 in words is "one hundred eighty-seven billion, four hundred eleven million, nine hundred forty thousand, three hundred fifty-two".