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23869242647712 = 25327113313978191
BaseRepresentation
bin1010110110101011111011…
…01110101010010010100000
310010111212200120010110221100
411123111331232222102200
511112033202104211322
6122433213444154400
75012332040620350
oct533257556522240
9103455616113840
1023869242647712
1176729862285a0
122816029098a00
131041b243377a7
145c73c56a8b60
152b5d6177bdac
hex15b57dbaa4a0

23869242647712 has 576 divisors, whose sum is σ = 85107186597888. Its totient is φ = 6164750592000.

The previous prime is 23869242647707. The next prime is 23869242647753. The reversal of 23869242647712 is 21774624296832.

23869242647712 is a `hidden beast` number, since 2 + 3 + 86 + 92 + 426 + 47 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23869242647712.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2914077537 + ... + 2914085727.

It is an arithmetic number, because the mean of its divisors is an integer number (147755532288).

Almost surely, 223869242647712 is an apocalyptic number.

23869242647712 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 23869242647712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42553593298944).

23869242647712 is an abundant number, since it is smaller than the sum of its proper divisors (61237943950176).

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

23869242647712 is a wasteful number, since it uses less digits than its factorization.

23869242647712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8953 (or 8942 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 23869242647712 in words is "twenty-three trillion, eight hundred sixty-nine billion, two hundred forty-two million, six hundred forty-seven thousand, seven hundred twelve".