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23354462109468 = 223711320111223489
BaseRepresentation
bin1010100111101101000100…
…11010101111111100011100
310001200122221121201121221110
411103312202122233330130
511030114414300000333
6121400520342502020
74630206225343530
oct523664232577434
9101618847647843
1023354462109468
117494632013a36
122752302134910
131005415c803c9
145aa50d46bbc0
152a7783235063
hex153da26aff1c

23354462109468 has 96 divisors (see below), whose sum is σ = 62860997767680. Its totient is φ = 6610358845440.

The previous prime is 23354462109467. The next prime is 23354462109487. The reversal of 23354462109468 is 86490126445332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23354462109467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18476668 + ... + 19700156.

It is an arithmetic number, because the mean of its divisors is an integer number (654802060080).

Almost surely, 223354462109468 is an apocalyptic number.

23354462109468 is a gapful number since it is divisible by the number (28) 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 23354462109468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31430498883840).

23354462109468 is an abundant number, since it is smaller than the sum of its proper divisors (39506535658212).

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

23354462109468 is a wasteful number, since it uses less digits than its factorization.

23354462109468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225627 (or 1225625 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 23354462109468 in words is "twenty-three trillion, three hundred fifty-four billion, four hundred sixty-two million, one hundred nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2011 2373 3164 4022 4746 6033 8044 9492 12066 14077 24132 28154 42231 56308 84462 168924 227243 454486 681729 908972 1223489 1363458 1590701 2446978 2726916 3181402 3670467 4772103 4893956 6362804 7340934 8564423 9544206 14681868 17128846 19088412 25693269 34257692 51386538 102773076 138254257 276508514 414762771 553017028 829525542 967779799 1659051084 1935559598 2460436379 2903339397 3871119196 4920872758 5806678794 7381309137 9841745516 11613357588 14762618274 17223054653 29525236548 34446109306 51669163959 68892218612 103338327918 206676655836 278029310827 556058621654 834087932481 1112117243308 1668175864962 1946205175789 3336351729924 3892410351578 5838615527367 7784820703156 11677231054734 23354462109468