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23748874134468 = 223729414310154751
BaseRepresentation
bin1010110011001011101110…
…01101001110001111000100
310010002100222212112110022020
411121211313031032033010
511103100143234300333
6122302025425203140
75000541145263330
oct531456715161704
9103070885473266
1023748874134468
117626928353a7a
1227b6835a904b0
1310336809b4762
145c16474367c0
152b2b692823b3
hex15997734e3c4

23748874134468 has 384 divisors, whose sum is σ = 69353981706240. Its totient is φ = 6181056000000.

The previous prime is 23748874134449. The next prime is 23748874134493. The reversal of 23748874134468 is 86443147884732.

It is a super-2 number, since 2×237488741344682 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 433734093 + ... + 433788843.

It is an arithmetic number, because the mean of its divisors is an integer number (180609327360).

Almost surely, 223748874134468 is an apocalyptic number.

23748874134468 is a gapful number since it is divisible by the number (28) 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 23748874134468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34676990853120).

23748874134468 is an abundant number, since it is smaller than the sum of its proper divisors (45605107571772).

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

23748874134468 is a wasteful number, since it uses less digits than its factorization.

23748874134468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54979 (or 54977 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 69.

The spelling of 23748874134468 in words is "twenty-three trillion, seven hundred forty-eight billion, eight hundred seventy-four million, one hundred thirty-four thousand, four hundred sixty-eight".