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23425041507840 = 293357322115031
BaseRepresentation
bin1010101001110000100010…
…10001110010011000000000
310001221102010102022112222000
411110320101101302120000
511032243441111222330
6121453152052144000
74635255236336340
oct524702121623000
9101842112275860
1023425041507840
117511560272635
122763b1b008000
13100bc8345c41b
145adac6dc6d20
152a9514644560
hex154e11472600

23425041507840 has 640 divisors, whose sum is σ = 95130365552640. Its totient is φ = 5352276787200.

The previous prime is 23425041507823. The next prime is 23425041507871. The reversal of 23425041507840 is 4870514052432.

23425041507840 is a `hidden beast` number, since 2 + 3 + 4 + 25 + 0 + 41 + 507 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1558441125 + ... + 1558456155.

It is an arithmetic number, because the mean of its divisors is an integer number (148641196176).

Almost surely, 223425041507840 is an apocalyptic number.

23425041507840 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 23425041507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47565182776320).

23425041507840 is an abundant number, since it is smaller than the sum of its proper divisors (71705324044800).

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

23425041507840 is a wasteful number, since it uses less digits than its factorization.

23425041507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18291 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 23425041507840 in words is "twenty-three trillion, four hundred twenty-five billion, forty-one million, five hundred seven thousand, eight hundred forty".