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23681442473280 = 26325172192336427
BaseRepresentation
bin1010110001001110000111…
…11101110110010101000000
310002211220221102222010221100
411120213003331312111000
511100444043233121110
6122211034322454400
74662633135520044
oct530470375662500
9102756842863840
1023681442473280
1176002749a1969
1227a5757204400
13102a1c56a5c17
145bc28b980024
152b101e39abc0
hex1589c3f76540

23681442473280 has 1008 divisors, whose sum is σ = 91486796431680. Its totient is φ = 5605719146496.

The previous prime is 23681442473251. The next prime is 23681442473281. The reversal of 23681442473280 is 8237424418632.

23681442473280 is a `hidden beast` number, since 2 + 3 + 6 + 8 + 144 + 2 + 473 + 28 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23681442473281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3684677427 + ... + 3684683853.

Almost surely, 223681442473280 is an apocalyptic number.

23681442473280 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 23681442473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45743398215840).

23681442473280 is an abundant number, since it is smaller than the sum of its proper divisors (67805353958400).

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

23681442473280 is a wasteful number, since it uses less digits than its factorization.

23681442473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 23681442473280 in words is "twenty-three trillion, six hundred eighty-one billion, four hundred forty-two million, four hundred seventy-three thousand, two hundred eighty".