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23077120320 = 263451947997
BaseRepresentation
bin10101011111100000…
…001110100101000000
32012120021200011210000
4111133200032211000
5334230220322240
614333530440000
71444605200112
oct253740164500
965507604700
1023077120320
119872484071
124580593000
13223a0518a7
14118cc453b2
15900e95430
hex55f80e940

23077120320 has 560 divisors, whose sum is σ = 88336892160. Its totient is φ = 5700243456.

The previous prime is 23077120259. The next prime is 23077120327. The reversal of 23077120320 is 2302177032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23077120327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23146062 + ... + 23147058.

Almost surely, 223077120320 is an apocalyptic number.

23077120320 is a gapful number since it is divisible by the number (20) 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 23077120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44168446080).

23077120320 is an abundant number, since it is smaller than the sum of its proper divisors (65259771840).

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

23077120320 is a wasteful number, since it uses less digits than its factorization.

23077120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

Adding to 23077120320 its reverse (2302177032), we get a palindrome (25379297352).

The spelling of 23077120320 in words is "twenty-three billion, seventy-seven million, one hundred twenty thousand, three hundred twenty".