Search a number
-
+
169148102035680 = 25345177310516963
BaseRepresentation
bin100110011101011011011100…
…100010010100100011100000
3211011220101211001121210220000
4212131123130202110203200
5134132310303110120210
61355425322040220000
750425355436446655
oct4635333442244340
9734811731553800
10169148102035680
1149994341a0a8a9
1216b7a05116a600
13734c79cb63451
142daab518c7c2c
151484de4bc3ac0
hex99d6dc8948e0

169148102035680 has 480 divisors, whose sum is σ = 640725166043424. Its totient is φ = 41871307014144.

The previous prime is 169148102035673. The next prime is 169148102035727. The reversal of 169148102035680 is 86530201841961.

It is a happy number.

169148102035680 is a `hidden beast` number, since 1 + 6 + 9 + 1 + 48 + 10 + 20 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1691481020356802 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10824879 + ... + 21341841.

Almost surely, 2169148102035680 is an apocalyptic number.

169148102035680 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 169148102035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320362583021712).

169148102035680 is an abundant number, since it is smaller than the sum of its proper divisors (471577064007744).

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

169148102035680 is a wasteful number, since it uses less digits than its factorization.

169148102035680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517080 (or 10517063 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 169148102035680 in words is "one hundred sixty-nine trillion, one hundred forty-eight billion, one hundred two million, thirty-five thousand, six hundred eighty".