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24297071040 = 2634511261127
BaseRepresentation
bin10110101000001101…
…111110000111000000
32022201022020002120000
4112220031332013000
5344230022233130
615054550320000
71520050460544
oct265015760700
968638202500
1024297071040
11a339077100
124861059000
1323a2a0cc18
141266c89a24
15973122260
hex5a837e1c0

24297071040 has 840 divisors, whose sum is σ = 97318104576. Its totient is φ = 5748019200.

The previous prime is 24297070991. The next prime is 24297071053. The reversal of 24297071040 is 4017079242.

It is a super-2 number, since 2×242970710402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24297070986 and 24297071004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 191315457 + ... + 191315583.

Almost surely, 224297071040 is an apocalyptic number.

24297071040 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 24297071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48659052288).

24297071040 is an abundant number, since it is smaller than the sum of its proper divisors (73021033536).

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

24297071040 is a wasteful number, since it uses less digits than its factorization.

24297071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 24297071040 in words is "twenty-four billion, two hundred ninety-seven million, seventy-one thousand, forty".