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162138715620 = 223572411399677
BaseRepresentation
bin1001011100000000111…
…0000111010111100100
3120111111201121011021120
42113000032013113210
510124030002344440
6202252511213540
714466643225500
oct2270016072744
9514451534246
10162138715620
1162843094932
122750bb172b0
131239c39181b
147bc199b300
15433e600dd0
hex25c03875e4

162138715620 has 288 divisors, whose sum is σ = 544937984640. Its totient is φ = 35892541440.

The previous prime is 162138715601. The next prime is 162138715621. The reversal of 162138715620 is 26517831261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (162138715621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16750222 + ... + 16759898.

It is an arithmetic number, because the mean of its divisors is an integer number (1892145780).

Almost surely, 2162138715620 is an apocalyptic number.

162138715620 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 162138715620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272468992320).

162138715620 is an abundant number, since it is smaller than the sum of its proper divisors (382799269020).

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

162138715620 is a wasteful number, since it uses less digits than its factorization.

162138715620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 162138715620 in words is "one hundred sixty-two billion, one hundred thirty-eight million, seven hundred fifteen thousand, six hundred twenty".