Search a number
-
+
185140368180 = 223251028557601
BaseRepresentation
bin1010110001101100111…
…0011101001100110100
3122200212202021011202100
42230123032131030310
511013131413240210
6221015144342100
716242644110155
oct2543316351464
9580782234670
10185140368180
1171576a02949
122ba6b174930
13145c68abc21
148d6479992c
154c38b3a5c0
hex2b1b39d334

185140368180 has 36 divisors (see below), whose sum is σ = 561592450692. Its totient is φ = 49370764800.

The previous prime is 185140368173. The next prime is 185140368223. The reversal of 185140368180 is 81863041581.

185140368180 is a `hidden beast` number, since 1 + 8 + 5 + 1 + 403 + 68 + 180 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78223139856 + 106917228324 = 279684^2 + 326982^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514278621 + ... + 514278980.

It is an arithmetic number, because the mean of its divisors is an integer number (15599790297).

Almost surely, 2185140368180 is an apocalyptic number.

185140368180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

185140368180 is an abundant number, since it is smaller than the sum of its proper divisors (376452082512).

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

185140368180 is a wasteful number, since it uses less digits than its factorization.

185140368180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028557616 (or 1028557611 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 185140368180 in words is "one hundred eighty-five billion, one hundred forty million, three hundred sixty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1028557601 2057115202 3085672803 4114230404 5142788005 6171345606 9257018409 10285576010 12342691212 15428364015 18514036818 20571152020 30856728030 37028073636 46285092045 61713456060 92570184090 185140368180