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23080985839800 = 233352717191383491
BaseRepresentation
bin1010011111101111101011…
…11101100100100010111000
310000201112001120212201002000
411033313311331210202320
511011124324333333200
6121031131501141000
74601355226404060
oct517676575444270
9100645046781060
1023080985839800
117399655871929
1227092bb55a760
13cb56b22685b5
1459b1a8bd23a0
152a05c93ce300
hex14fdf5f648b8

23080985839800 has 1536 divisors, whose sum is σ = 97156752998400. Its totient is φ = 4916395008000.

The previous prime is 23080985839763. The next prime is 23080985839829. The reversal of 23080985839800 is 893858908032.

23080985839800 is a `hidden beast` number, since 2 + 30 + 80 + 98 + 58 + 398 + 0 + 0 = 666.

It is a super-2 number, since 2×230809858398002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47008117555 + ... + 47008118045.

It is an arithmetic number, because the mean of its divisors is an integer number (63253094400).

Almost surely, 223080985839800 is an apocalyptic number.

23080985839800 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 23080985839800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48578376499200).

23080985839800 is an abundant number, since it is smaller than the sum of its proper divisors (74075767158600).

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

23080985839800 is a wasteful number, since it uses less digits than its factorization.

23080985839800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 23080985839800 in words is "twenty-three trillion, eighty billion, nine hundred eighty-five million, eight hundred thirty-nine thousand, eight hundred".