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164017094024 = 237101173167623
BaseRepresentation
bin1001100011000000101…
…1100011110110001000
3120200100122002200001002
42120300023203312020
510141401334002044
6203203131314132
714564332203410
oct2306013436610
9520318080032
10164017094024
1163617412383
1227954bab948
131260b594b34
147d1d237640
1543ee48c74e
hex26302e3d88

164017094024 has 64 divisors (see below), whose sum is σ = 356998890240. Its totient is φ = 69194361600.

The previous prime is 164017093997. The next prime is 164017094029. The reversal of 164017094024 is 420490710461.

It is not an unprimeable number, because it can be changed into a prime (164017094029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894677 + ... + 1062299.

It is an arithmetic number, because the mean of its divisors is an integer number (5578107660).

Almost surely, 2164017094024 is an apocalyptic number.

164017094024 is a gapful number since it is divisible by the number (14) 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 164017094024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178499445120).

164017094024 is an abundant number, since it is smaller than the sum of its proper divisors (192981796216).

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

164017094024 is a wasteful number, since it uses less digits than its factorization.

164017094024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167910 (or 167906 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 164017094024 in words is "one hundred sixty-four billion, seventeen million, ninety-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 101 173 202 346 404 692 707 808 1211 1384 1414 2422 2828 4844 5656 9688 17473 34946 69892 122311 139784 167623 244622 335246 489244 670492 978488 1173361 1340984 2346722 4693444 9386888 16929923 28998779 33859846 57997558 67719692 115995116 118509461 135439384 202991453 231990232 237018922 405982906 474037844 811965812 948075688 1623931624 2928876679 5857753358 11715506716 20502136753 23431013432 41004273506 82008547012 164017094024