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23045545454400 = 26325271117204679
BaseRepresentation
bin1010011110101101101011…
…00011001110101101000000
310000121010120200112120221100
411033112311203032231000
511010034234114020100
6121002551042454400
74565662046164230
oct517266543165500
9100533520476840
1023045545454400
117385619681817
12270246a664400
13cb2254a33251
145995a600bcc0
1529e702d5e400
hex14f5b58ceb40

23045545454400 has 504 divisors, whose sum is σ = 93694903003520. Its totient is φ = 5262811729920.

The previous prime is 23045545454329. The next prime is 23045545454401. The reversal of 23045545454400 is 445454554032.

It is a happy number.

23045545454400 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 5 + 54 + 54 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×230455454544003 (a number of 41 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (23045545454401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112491261 + ... + 112695939.

Almost surely, 223045545454400 is an apocalyptic number.

23045545454400 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 23045545454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46847451501760).

23045545454400 is an abundant number, since it is smaller than the sum of its proper divisors (70649357549120).

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

23045545454400 is a wasteful number, since it uses less digits than its factorization.

23045545454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205831 (or 205813 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 45.

The spelling of 23045545454400 in words is "twenty-three trillion, forty-five billion, five hundred forty-five million, four hundred fifty-four thousand, four hundred".