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23438349000000 = 26335611531489
BaseRepresentation
bin1010101010001001010100…
…11101110101110101000000
310001222200110211201012101000
411111010222131311311000
511033003214321000000
6121503232350012000
74636236065216514
oct525045235656500
9101880424635330
1023438349000000
117517169a79440
1227666137a7000
1310102c445313c
145b05ca516144
152a9a42a85000
hex15512a775d40

23438349000000 has 1568 divisors, whose sum is σ = 95796461289600. Its totient is φ = 5571072000000.

The previous prime is 23438348999981. The next prime is 23438349000023. The reversal of 23438349000000 is 94383432.

It is a happy number.

23438349000000 is a `hidden beast` number, since 234 + 383 + 49 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 15740999256 + ... + 15741000744.

Almost surely, 223438349000000 is an apocalyptic number.

23438349000000 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 23438349000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47898230644800).

23438349000000 is an abundant number, since it is smaller than the sum of its proper divisors (72358112289600).

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

23438349000000 is an equidigital number, since it uses as much as digits as its factorization.

23438349000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23438349000000 in words is "twenty-three trillion, four hundred thirty-eight billion, three hundred forty-nine million", and thus it is an aban number.