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23164425411840 = 2834517107122827
BaseRepresentation
bin1010100010001011000110…
…10110010001110100000000
310001000111102122011010220000
411101011203112101310000
511014011220401134330
6121133331244520000
74610401025146356
oct521054326216400
9101014378133800
1023164425411840
117420a83282329
122721507250000
13cc051bb7002b
145a12426b97d6
152a285e820560
hex151163591d00

23164425411840 has 720 divisors, whose sum is σ = 88583158585152. Its totient is φ = 5759434948608.

The previous prime is 23164425411839. The next prime is 23164425411851. The reversal of 23164425411840 is 4811452446132.

23164425411840 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 4 + 425 + 41 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×231644254118402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 188532507 + ... + 188655333.

Almost surely, 223164425411840 is an apocalyptic number.

23164425411840 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 23164425411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44291579292576).

23164425411840 is an abundant number, since it is smaller than the sum of its proper divisors (65418733173312).

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

23164425411840 is a wasteful number, since it uses less digits than its factorization.

23164425411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122984 (or 122961 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

Adding to 23164425411840 its reverse (4811452446132), we get a palindrome (27975877857972).

The spelling of 23164425411840 in words is "twenty-three trillion, one hundred sixty-four billion, four hundred twenty-five million, four hundred eleven thousand, eight hundred forty".