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8630770368 = 2631119375813
BaseRepresentation
bin10000000100110111…
…10001101011000000
3211021111022120011210
420002123301223000
5120133434122433
63544231210120
7423610223553
oct100233615300
924244276153
108630770368
113729932580
12180a516940
13a7712351c
145bc38069a
15357a95463
hex2026f1ac0

8630770368 has 224 divisors, whose sum is σ = 26936029440. Its totient is φ = 2410352640.

The previous prime is 8630770321. The next prime is 8630770373.

8630770368 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481830 + ... + 1487642.

Almost surely, 28630770368 is an apocalyptic number.

8630770368 is a gapful number since it is divisible by the number (88) 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 8630770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468014720).

8630770368 is an abundant number, since it is smaller than the sum of its proper divisors (18305259072).

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

8630770368 is a wasteful number, since it uses less digits than its factorization.

8630770368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 8630770368 is about 92901.9395276546. The cubic root of 8630770368 is about 2051.2402067578.

The spelling of 8630770368 in words is "eight billion, six hundred thirty million, seven hundred seventy thousand, three hundred sixty-eight".