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23468537514240 = 2835571317219151
BaseRepresentation
bin1010101011000001100011…
…10101111000100100000000
310002002120101201201121200000
411111200301311320210000
511034002031100423430
6121525144114400000
74641355144314540
oct525406165704400
9102076351647600
1023468537514240
117528a5066aa65
122770439890000
1310130c58b0610
145b1c519d3320
152aa70cee9e60
hex155831d78900

23468537514240 has 5184 divisors, whose sum is σ = 116655042416640. Its totient is φ = 4385813299200.

The previous prime is 23468537514211. The next prime is 23468537514263. The reversal of 23468537514240 is 4241573586432.

23468537514240 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 85 + 3 + 7 + 514 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 155420778165 + ... + 155420778315.

Almost surely, 223468537514240 is an apocalyptic number.

23468537514240 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 23468537514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58327521208320).

23468537514240 is an abundant number, since it is smaller than the sum of its proper divisors (93186504902400).

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

23468537514240 is a wasteful number, since it uses less digits than its factorization.

23468537514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 23468537514240 in words is "twenty-three trillion, four hundred sixty-eight billion, five hundred thirty-seven million, five hundred fourteen thousand, two hundred forty".