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2334754373952 = 263741113107331
BaseRepresentation
bin100001111110011010001…
…101001000000101000000
322021012102001021000001110
4201332122031020011000
5301223034104431302
64544323225003320
7330452250510000
oct41763215100500
98235361230043
102334754373952
11820188a82690
123185a8623540
1313c2217460a0
1481007640000
1540aeb89db6c
hex21f9a348140

2334754373952 has 1120 divisors, whose sum is σ = 8571324593664. Its totient is φ = 552874291200.

The previous prime is 2334754373929. The next prime is 2334754373977. The reversal of 2334754373952 is 2593734574332.

It is a junction number, because it is equal to n+sod(n) for n = 2334754373892 and 2334754373901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7053638427 + ... + 7053638757.

Almost surely, 22334754373952 is an apocalyptic number.

2334754373952 is a gapful number since it is divisible by the number (22) 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 2334754373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285662296832).

2334754373952 is an abundant number, since it is smaller than the sum of its proper divisors (6236570219712).

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

2334754373952 is a wasteful number, since it uses less digits than its factorization.

2334754373952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 474 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 57.

The spelling of 2334754373952 in words is "two trillion, three hundred thirty-four billion, seven hundred fifty-four million, three hundred seventy-three thousand, nine hundred fifty-two".