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23480368853760 = 283557131943661
BaseRepresentation
bin1010101011010111100110…
…00010110111001100000000
310002010200221021110221100000
411111223303002313030000
511034200243411310020
6121534422121200000
74642254300122010
oct525536302671400
9102120837427300
1023480368853760
117532a720a4505
1227727a0030000
13101425cb11730
145b2655069c40
152aaba1a52090
hex155af30b7300

23480368853760 has 1728 divisors, whose sum is σ = 109150361349120. Its totient is φ = 4693250211840.

The previous prime is 23480368853731. The next prime is 23480368853861. The reversal of 23480368853760 is 6735886308432.

23480368853760 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 0 + 36 + 8 + 8 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×234803688537602 (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 537766330 + ... + 537809990.

Almost surely, 223480368853760 is an apocalyptic number.

23480368853760 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 23480368853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54575180674560).

23480368853760 is an abundant number, since it is smaller than the sum of its proper divisors (85669992495360).

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

23480368853760 is a wasteful number, since it uses less digits than its factorization.

23480368853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43736 (or 43710 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 23480368853760 in words is "twenty-three trillion, four hundred eighty billion, three hundred sixty-eight million, eight hundred fifty-three thousand, seven hundred sixty".