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23400988490880 = 2735571113231373
BaseRepresentation
bin1010101001000011101111…
…00110110011110010000000
310001212010001010022200200000
411110201313212303302000
511031400211023202010
6121434133220400000
74633444211144430
oct524416746636200
9101763033280600
1023400988490880
117502337a38a20
12275b327846000
13100991c18c700
145ac88470a2c0
152a8aa7b7e7c0
hex1548779b3c80

23400988490880 has 4608 divisors, whose sum is σ = 117094559662080. Its totient is φ = 4332065587200.

The previous prime is 23400988490879. The next prime is 23400988490881. The reversal of 23400988490880 is 8809488900432.

23400988490880 is a `hidden beast` number, since 23 + 40 + 0 + 9 + 8 + 8 + 490 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (23400988490879) and next prime (23400988490881).

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

It is not an unprimeable number, because it can be changed into a prime (23400988490881) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 62737234374 + ... + 62737234746.

It is an arithmetic number, because the mean of its divisors is an integer number (25411145760).

Almost surely, 223400988490880 is an apocalyptic number.

23400988490880 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 23400988490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58547279831040).

23400988490880 is an abundant number, since it is smaller than the sum of its proper divisors (93693571171200).

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

23400988490880 is a wasteful number, since it uses less digits than its factorization.

23400988490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 23400988490880 in words is "twenty-three trillion, four hundred billion, nine hundred eighty-eight million, four hundred ninety thousand, eight hundred eighty".