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7863690816 = 2633171973193
BaseRepresentation
bin1110101001011011…
…00110011001000000
3202022000220212212000
413110231212121000
5112101101101231
63340150104000
7365604161202
oct72455463100
922260825760
107863690816
113375937333
12163564b000
139842289b7
14548544772
153105726e6
hex1d4b66640

7863690816 has 448 divisors, whose sum is σ = 26254252800. Its totient is φ = 2293235712.

The previous prime is 7863690803. The next prime is 7863690827. The reversal of 7863690816 is 6180963687.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 40744416 + ... + 40744608.

Almost surely, 27863690816 is an apocalyptic number.

7863690816 is a gapful number since it is divisible by the number (76) 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 7863690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127126400).

7863690816 is an abundant number, since it is smaller than the sum of its proper divisors (18390561984).

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

7863690816 is a wasteful number, since it uses less digits than its factorization.

7863690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 7863690816 is about 88677.4538200100. The cubic root of 7863690816 is about 1988.5757690580.

The spelling of 7863690816 in words is "seven billion, eight hundred sixty-three million, six hundred ninety thousand, eight hundred sixteen".