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23404541072640 = 2835721373131071
BaseRepresentation
bin1010101001001010010110…
…10110110101010100000000
310001212110012201010112200020
411110211023112311110000
511031430000003311030
6121435521524453440
74633631226453600
oct524451326652400
9101773181115606
1023404541072640
1175038a030a202
12275bb5954a280
13100a0671a95b0
145acb00474c00
152a8c149c6510
hex15494b5b5500

23404541072640 has 864 divisors, whose sum is σ = 94924141756416. Its totient is φ = 4870418595840.

The previous prime is 23404541072639. The next prime is 23404541072663. The reversal of 23404541072640 is 4627014540432.

It is a happy number.

It is a super-5 number, since 5×234045410726405 (a number of 68 digits) contains 55555 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23404541072592 and 23404541072601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178498305 + ... + 178629375.

Almost surely, 223404541072640 is an apocalyptic number.

23404541072640 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 23404541072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47462070878208).

23404541072640 is an abundant number, since it is smaller than the sum of its proper divisors (71519600683776).

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

23404541072640 is a wasteful number, since it uses less digits than its factorization.

23404541072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131195 (or 131174 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 23404541072640 in words is "twenty-three trillion, four hundred four billion, five hundred forty-one million, seventy-two thousand, six hundred forty".