Search a number
-
+
168887255040 = 2163657101
BaseRepresentation
bin1001110101001001110…
…1110000000000000000
3121010221001011111000000
42131102131300000000
510231340114130130
6205330304000000
715126116660520
oct2352235600000
9533831144000
10168887255040
11656964a8439
1228894000000
1312c0656330a
148261d7b680
1545d6ce8260
hex2752770000

168887255040 has 952 divisors, whose sum is σ = 701403912288. Its totient is φ = 38220595200.

The previous prime is 168887255011. The next prime is 168887255057. The reversal of 168887255040 is 40552788861.

168887255040 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 87 + 2 + 550 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1672150990 + ... + 1672151090.

Almost surely, 2168887255040 is an apocalyptic number.

168887255040 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 168887255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350701956144).

168887255040 is an abundant number, since it is smaller than the sum of its proper divisors (532516657248).

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

168887255040 is an frugal number, since it uses more digits than its factorization.

168887255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 168887255040 in words is "one hundred sixty-eight billion, eight hundred eighty-seven million, two hundred fifty-five thousand, forty".