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164601489792 = 2731727971861
BaseRepresentation
bin1001100101001100000…
…0110110100110000000
3120201212100202001022210
42121103000312212000
510144100440133132
6203341125102120
714614656402225
oct2312300664600
9521770661283
10164601489792
1163897282593
1227a98857940
13126a268904c
147d76abb94c
154435926bcc
hex2653036980

164601489792 has 192 divisors, whose sum is σ = 465287210640. Its totient is φ = 51547176960.

The previous prime is 164601489791. The next prime is 164601489823. The reversal of 164601489792 is 297984106461.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164601489791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88446942 + ... + 88448802.

Almost surely, 2164601489792 is an apocalyptic number.

164601489792 is a gapful number since it is divisible by the number (12) 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 164601489792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232643605320).

164601489792 is an abundant number, since it is smaller than the sum of its proper divisors (300685720848).

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

164601489792 is a wasteful number, since it uses less digits than its factorization.

164601489792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 164601489792 in words is "one hundred sixty-four billion, six hundred one million, four hundred eighty-nine thousand, seven hundred ninety-two".