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10030778208 = 2534111392531
BaseRepresentation
bin10010101011110000…
…11000011101100000
3221220001200022220000
421111320120131200
5131020334400313
64335202220000
7503400131223
oct112570303540
927801608800
1010030778208
114288127150
121b3b354600
13c3b1a5729
146b22955ba
153da93c673
hex255e18760

10030778208 has 240 divisors, whose sum is σ = 32426412480. Its totient is φ = 3016569600.

The previous prime is 10030778203. The next prime is 10030778231. The reversal of 10030778208 is 80287703001.

It is a super-2 number, since 2×100307782082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030778201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3961903 + ... + 3964433.

It is an arithmetic number, because the mean of its divisors is an integer number (135110052).

Almost surely, 210030778208 is an apocalyptic number.

10030778208 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 10030778208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213206240).

10030778208 is an abundant number, since it is smaller than the sum of its proper divisors (22395634272).

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

10030778208 is a wasteful number, since it uses less digits than its factorization.

10030778208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10030778208 in words is "ten billion, thirty million, seven hundred seventy-eight thousand, two hundred eight".