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23343725404032 = 27311192325434973
BaseRepresentation
bin1010100111011001000100…
…11101011101111110000000
310001122122020100201110221120
411103230202131131332000
511024430422200412112
6121351543121552240
74626346164013365
oct523544235357600
9101578210643846
1023343725404032
11749002246a260
1227502064a5680
1310043c4771777
145a9bb153846c
152a7355853e8c
hex153b2275df80

23343725404032 has 512 divisors, whose sum is σ = 74343934771200. Its totient is φ = 6406367109120.

The previous prime is 23343725404031. The next prime is 23343725404039. The reversal of 23343725404032 is 23040452734332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23343725404031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4694090698 + ... + 4694095670.

It is an arithmetic number, because the mean of its divisors is an integer number (145202997600).

Almost surely, 223343725404032 is an apocalyptic number.

23343725404032 is a gapful number since it is divisible by the number (22) 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 23343725404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37171967385600).

23343725404032 is an abundant number, since it is smaller than the sum of its proper divisors (51000209367168).

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

23343725404032 is a wasteful number, since it uses less digits than its factorization.

23343725404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 42.

The spelling of 23343725404032 in words is "twenty-three trillion, three hundred forty-three billion, seven hundred twenty-five million, four hundred four thousand, thirty-two".