Search a number
-
+
165842974260 = 223352119711499
BaseRepresentation
bin1001101001110100000…
…0101111011000110100
3120212001212210222212000
42122131000233120310
510204121300134020
6204104234255300
714660513010405
oct2323500573064
9525055728760
10165842974260
1164374043207
1228184587530
131283c946942
1480539299ac
1544a9909090
hex269d02f634

165842974260 has 192 divisors, whose sum is σ = 519281280000. Its totient is φ = 43940534400.

The previous prime is 165842974259. The next prime is 165842974303. The reversal of 165842974260 is 62479248561.

165842974260 is a `hidden beast` number, since 16 + 5 + 84 + 297 + 4 + 260 = 666.

It is a super-2 number, since 2×1658429742602 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 165842974197 and 165842974206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110634991 + ... + 110636489.

It is an arithmetic number, because the mean of its divisors is an integer number (2704590000).

Almost surely, 2165842974260 is an apocalyptic number.

165842974260 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 165842974260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259640640000).

165842974260 is an abundant number, since it is smaller than the sum of its proper divisors (353438305740).

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

165842974260 is a wasteful number, since it uses less digits than its factorization.

165842974260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 165842974260 in words is "one hundred sixty-five billion, eight hundred forty-two million, nine hundred seventy-four thousand, two hundred sixty".