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166372059840 = 26357231271421
BaseRepresentation
bin1001101011110010001…
…1000010101011000000
3120220102202101022211020
42122330203002223000
510211212221403330
6204232534345440
715006566114100
oct2327443025300
9526382338736
10166372059840
1164615766018
12282b17bb280
13128c544372c
1480a3cd3200
1544db0ba210
hex26bc8c2ac0

166372059840 has 672 divisors, whose sum is σ = 638147616768. Its totient is φ = 36578304000.

The previous prime is 166372059803. The next prime is 166372059859. The reversal of 166372059840 is 48950273661.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×1663720598403 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395182830 + ... + 395183250.

It is a 1-persistent number, because it is pandigital, but 2⋅166372059840 = 332744119680 is not.

Almost surely, 2166372059840 is an apocalyptic number.

166372059840 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 166372059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319073808384).

166372059840 is an abundant number, since it is smaller than the sum of its proper divisors (471775556928).

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

166372059840 is a wasteful number, since it uses less digits than its factorization.

166372059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 166372059840 in words is "one hundred sixty-six billion, three hundred seventy-two million, fifty-nine thousand, eight hundred forty".