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164644430144 = 2610748749369
BaseRepresentation
bin1001100101010110010…
…0101010000101000000
3120201222100112122102012
42121111210222011000
510144142433231034
6203345301312052
714616020364605
oct2312544520500
9521870478365
10164644430144
1163909541287
1227aab105628
13126ab54203c
147d7c6986ac
1544395a9cce
hex265592a140

164644430144 has 56 divisors (see below), whose sum is σ = 330453552960. Its totient is φ = 81383740416.

The previous prime is 164644430129. The next prime is 164644430161. The reversal of 164644430144 is 441034446461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3310292 + ... + 3359660.

Almost surely, 2164644430144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164644430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165226776480).

164644430144 is an abundant number, since it is smaller than the sum of its proper divisors (165809122816).

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

164644430144 is a wasteful number, since it uses less digits than its factorization.

164644430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49975 (or 49965 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 41.

The spelling of 164644430144 in words is "one hundred sixty-four billion, six hundred forty-four million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 107 214 428 487 856 974 1712 1948 3424 3896 6848 7792 15584 31168 49369 52109 98738 104218 197476 208436 394952 416872 789904 833744 1579808 1667488 3159616 3334976 5282483 10564966 21129932 24042703 42259864 48085406 84519728 96170812 169039456 192341624 338078912 384683248 769366496 1538732992 2572569221 5145138442 10290276884 20580553768 41161107536 82322215072 164644430144