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23053574335680 = 2632573767717389
BaseRepresentation
bin1010011110111100101000…
…00110111110110011000000
310000121220022020022000111200
411033132110012332303000
511010202210012220210
6121010355453341200
74566365030433330
oct517362406766300
9100556266260450
1023053574335680
117388a69786099
122703b2b497800
13cb2c34249085
14599b284730c0
1529ea22b620c0
hex14f7941becc0

23053574335680 has 2688 divisors, whose sum is σ = 98194586480640. Its totient is φ = 4855926620160.

The previous prime is 23053574335667. The next prime is 23053574335703. The reversal of 23053574335680 is 8653347535032.

It is a happy number.

23053574335680 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 3 + 5 + 74 + 3 + 3 + 568 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 259028925076 + ... + 259028925164.

Almost surely, 223053574335680 is an apocalyptic number.

23053574335680 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 23053574335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49097293240320).

23053574335680 is an abundant number, since it is smaller than the sum of its proper divisors (75141012144960).

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

23053574335680 is a wasteful number, since it uses less digits than its factorization.

23053574335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 23053574335680 in words is "twenty-three trillion, fifty-three billion, five hundred seventy-four million, three hundred thirty-five thousand, six hundred eighty".