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4668699360 = 253513267859
BaseRepresentation
bin1000101100100011…
…01011001011100000
3110001100222111112010
410112101223023200
534030141334420
62051134232520
7223460201253
oct42621531340
913040874463
104668699360
111a863a4a26
12aa3655740
13595321b00
143240a109a
151c4d134e0
hex11646b2e0

4668699360 has 288 divisors, whose sum is σ = 16181182080. Its totient is φ = 1130747904.

The previous prime is 4668699353. The next prime is 4668699377. The reversal of 4668699360 is 639968664.

It is a self number, because there is not a number n which added to its sum of digits gives 4668699360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5434611 + ... + 5435469.

It is an arithmetic number, because the mean of its divisors is an integer number (56184660).

Almost surely, 24668699360 is an apocalyptic number.

4668699360 is a gapful number since it is divisible by the number (40) 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 4668699360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090591040).

4668699360 is an abundant number, since it is smaller than the sum of its proper divisors (11512482720).

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

4668699360 is a wasteful number, since it uses less digits than its factorization.

4668699360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The square root of 4668699360 is about 68327.8812784357. The cubic root of 4668699360 is about 1671.3419073231.

The spelling of 4668699360 in words is "four billion, six hundred sixty-eight million, six hundred ninety-nine thousand, three hundred sixty".