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168034690560 = 2935115573571
BaseRepresentation
bin1001110001111110100…
…1011110011000000000
3121001201121220201101210
42130133221132120000
510223113340044220
6205105530330120
715066025206012
oct2343751363000
9531647821353
10168034690560
11652992250a0
1228696589940
1312acba379a9
1481c0a4c1b2
15458703b6e0
hex271fa5e600

168034690560 has 320 divisors, whose sum is σ = 587237485824. Its totient is φ = 40651161600.

The previous prime is 168034690547. The next prime is 168034690609. The reversal of 168034690560 is 65096430861.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1680346905602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 47053575 + ... + 47057145.

Almost surely, 2168034690560 is an apocalyptic number.

168034690560 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 168034690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293618742912).

168034690560 is an abundant number, since it is smaller than the sum of its proper divisors (419202795264).

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

168034690560 is a wasteful number, since it uses less digits than its factorization.

168034690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 168034690560 in words is "one hundred sixty-eight billion, thirty-four million, six hundred ninety thousand, five hundred sixty".