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10216378368 = 2123475383
BaseRepresentation
bin10011000001111000…
…11001000000000000
3222100222220210110000
421200330121000000
5131410343101433
64405432240000
7511112532450
oct114074310000
928328823400
1010216378368
114372974309
121b91540000
13c6a78a601
146ccba9d60
153ebda0113
hex260f19000

10216378368 has 520 divisors, whose sum is σ = 35965435968. Its totient is φ = 2829385728.

The previous prime is 10216378357. The next prime is 10216378373. The reversal of 10216378368 is 86387361201.

10216378368 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 637 + 8 + 3 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123088855 + ... + 123088937.

Almost surely, 210216378368 is an apocalyptic number.

10216378368 is a gapful number since it is divisible by the number (18) 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 10216378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982717984).

10216378368 is an abundant number, since it is smaller than the sum of its proper divisors (25749057600).

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

10216378368 is an frugal number, since it uses more digits than its factorization.

10216378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10216378368 in words is "ten billion, two hundred sixteen million, three hundred seventy-eight thousand, three hundred sixty-eight".