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162145939200 = 28352721947193
BaseRepresentation
bin1001011100000010100…
…1101010111100000000
3120111112020012011011120
42113000221222330000
510124033330023300
6202253330112240
714500061512500
oct2270051527400
9514466164146
10162145939200
1162847179033
122751241b680
13123a0a2072b
147bc291ba00
15434007b3a0
hex25c0a6af00

162145939200 has 1296 divisors, whose sum is σ = 672651947520. Its totient is φ = 34186199040.

The previous prime is 162145939183. The next prime is 162145939201. The reversal of 162145939200 is 2939541261.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162145939201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 840134304 + ... + 840134496.

Almost surely, 2162145939200 is an apocalyptic number.

162145939200 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 162145939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336325973760).

162145939200 is an abundant number, since it is smaller than the sum of its proper divisors (510506008320).

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

162145939200 is a wasteful number, since it uses less digits than its factorization.

162145939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 162145939200 in words is "one hundred sixty-two billion, one hundred forty-five million, nine hundred thirty-nine thousand, two hundred".