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168429484080 = 243351113545291
BaseRepresentation
bin1001110011011100101…
…1011111100000110000
3121002202010210022022000
42130313023133200300
510224420421442310
6205213032214000
715111560664354
oct2346713374060
9532663708260
10168429484080
1165481064330
122878683a300
1312b62775520
14821b259464
1545aba224c0
hex27372df830

168429484080 has 320 divisors, whose sum is σ = 681571376640. Its totient is φ = 37690444800.

The previous prime is 168429484079. The next prime is 168429484133. The reversal of 168429484080 is 80484924861.

It is a happy number.

168429484080 is a `hidden beast` number, since 1 + 6 + 84 + 2 + 9 + 484 + 0 + 80 = 666.

It is a super-2 number, since 2×1684294840802 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 36235 + ... + 581525.

It is an arithmetic number, because the mean of its divisors is an integer number (2129910552).

Almost surely, 2168429484080 is an apocalyptic number.

168429484080 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 168429484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340785688320).

168429484080 is an abundant number, since it is smaller than the sum of its proper divisors (513141892560).

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

168429484080 is a wasteful number, since it uses less digits than its factorization.

168429484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545337 (or 545325 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 168429484080 in words is "one hundred sixty-eight billion, four hundred twenty-nine million, four hundred eighty-four thousand, eighty".