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5665009350 = 235271113291301
BaseRepresentation
bin1010100011010100…
…10010111011000110
3112121210201021220010
411101222102323012
543100220244400
62334044451050
7260245533150
oct52152227306
915553637803
105665009350
112447828410
121121249a86
136c3869550
143ba52bad0
15232516450
hex151a92ec6

5665009350 has 384 divisors, whose sum is σ = 19528750080. Its totient is φ = 1048320000.

The previous prime is 5665009333. The next prime is 5665009351. The reversal of 5665009350 is 539005665.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 5665009299 and 5665009308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5665009351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4353700 + ... + 4355000.

It is an arithmetic number, because the mean of its divisors is an integer number (50856120).

Almost surely, 25665009350 is an apocalyptic number.

5665009350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5665009350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9764375040).

5665009350 is an abundant number, since it is smaller than the sum of its proper divisors (13863740730).

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

5665009350 is a wasteful number, since it uses less digits than its factorization.

5665009350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 5665009350 is about 75266.2563835880. The cubic root of 5665009350 is about 1782.6532570523.

The spelling of 5665009350 in words is "five billion, six hundred sixty-five million, nine thousand, three hundred fifty".