Search a number
-
+
10233900359760 = 24357111035376529
BaseRepresentation
bin1001010011101100001111…
…1111101110000001010000
31100020100111010000122102210
42110323003333232001100
52320133011443003020
633433220001312120
72104242406530360
oct224730377560120
940210433018383
1010233900359760
113296199a57270
121193494635640
1359308b91536c
142754756729a0
1512b3196333e0
hex94ec3fee050

10233900359760 has 320 divisors, whose sum is σ = 39937380986880. Its totient is φ = 2105878487040.

The previous prime is 10233900359689. The next prime is 10233900359773. The reversal of 10233900359760 is 6795300933201.

10233900359760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784825 + ... + 4591704.

It is an arithmetic number, because the mean of its divisors is an integer number (124804315584).

Almost surely, 210233900359760 is an apocalyptic number.

10233900359760 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 10233900359760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968690493440).

10233900359760 is an abundant number, since it is smaller than the sum of its proper divisors (29703480627120).

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

10233900359760 is a wasteful number, since it uses less digits than its factorization.

10233900359760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376666 (or 5376660 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 48.

The spelling of 10233900359760 in words is "ten trillion, two hundred thirty-three billion, nine hundred million, three hundred fifty-nine thousand, seven hundred sixty".