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23345821040 = 2451187245849
BaseRepresentation
bin10101101111100001…
…001111010101110000
32020021000021120212112
4111233201033111300
5340303012233130
614420325544452
71454350130123
oct255741172560
966230246775
1023345821040
1199a011a983
124636575128
1322809111b9
1411b67cc3ba
15919870495
hex56f84f570

23345821040 has 40 divisors (see below), whose sum is σ = 54324982800. Its totient is φ = 9330423296.

The previous prime is 23345821007. The next prime is 23345821127. The reversal of 23345821040 is 4012854332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×233458210403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23345820988 and 23345821006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27965 + ... + 217884.

It is an arithmetic number, because the mean of its divisors is an integer number (1358124570).

Almost surely, 223345821040 is an apocalyptic number.

23345821040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23345821040 is an abundant number, since it is smaller than the sum of its proper divisors (30979161760).

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

23345821040 is a wasteful number, since it uses less digits than its factorization.

23345821040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247049 (or 247043 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 23345821040 in words is "twenty-three billion, three hundred forty-five million, eight hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1187 2374 4748 5935 9496 11870 18992 23740 47480 94960 245849 491698 983396 1229245 1966792 2458490 3933584 4916980 9833960 19667920 291822763 583645526 1167291052 1459113815 2334582104 2918227630 4669164208 5836455260 11672910520 23345821040