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10233481680 = 243455383359
BaseRepresentation
bin10011000011111011…
…01000100111010000
3222102012002201210000
421201331220213100
5131424232403210
64411243010000
7511411105362
oct114175504720
928365081700
1010233481680
114381596284
121b97209900
13c71198406
146d117cd32
153ed62cac0
hex261f689d0

10233481680 has 400 divisors, whose sum is σ = 36751397760. Its totient is φ = 2637812736.

The previous prime is 10233481663. The next prime is 10233481717. The reversal of 10233481680 is 8618433201.

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 79 ways as a sum of consecutive naturals, for example, 28505341 + ... + 28505699.

Almost surely, 210233481680 is an apocalyptic number.

10233481680 is a gapful number since it is divisible by the number (10) 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 10233481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375698880).

10233481680 is an abundant number, since it is smaller than the sum of its proper divisors (26517916080).

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

10233481680 is a wasteful number, since it uses less digits than its factorization.

10233481680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10233481680 in words is "ten billion, two hundred thirty-three million, four hundred eighty-one thousand, six hundred eighty".