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23545012106880 = 273351119231372069
BaseRepresentation
bin1010101101010000000000…
…00101010011011010000000
310002100212210101011102221000
411112220000011103122000
511041230141044410010
6122024232414332000
74650033230526555
oct526500005233200
9102325711142830
1023545012106880
117558424576340
122783220aba000
13101a392521374
145b5828478a2c
152ac6d6c3d7c0
hex156a00153680

23545012106880 has 2048 divisors, whose sum is σ = 100698577920000. Its totient is φ = 5132123504640.

The previous prime is 23545012106843. The next prime is 23545012106929. The reversal of 23545012106880 is 8860121054532.

23545012106880 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 501 + 2 + 1 + 0 + 68 + 80 = 666.

It is a super-2 number, since 2×235450121068802 (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11379898486 + ... + 11379900554.

It is an arithmetic number, because the mean of its divisors is an integer number (49169227500).

Almost surely, 223545012106880 is an apocalyptic number.

23545012106880 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 23545012106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349288960000).

23545012106880 is an abundant number, since it is smaller than the sum of its proper divisors (77153565813120).

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

23545012106880 is a wasteful number, since it uses less digits than its factorization.

23545012106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 23545012106880 in words is "twenty-three trillion, five hundred forty-five billion, twelve million, one hundred six thousand, eight hundred eighty".