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10690003296 = 2533723313767
BaseRepresentation
bin10011111010010110…
…01000000101100000
31000121000010102201000
421331023020011200
5133343120101141
64524431512000
7525623346240
oct117513100540
930530112630
1010690003296
114596256775
1220a4088600
13101493964b
14735a57b20
154287585b6
hex27d2c8160

10690003296 has 768 divisors, whose sum is σ = 40007761920. Its totient is φ = 2709780480.

The previous prime is 10690003283. The next prime is 10690003309. The reversal of 10690003296 is 69230009601.

It is an interprime number because it is at equal distance from previous prime (10690003283) and next prime (10690003309).

It is a super-2 number, since 2×106900032962 (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 self number, because there is not a number n which added to its sum of digits gives 10690003296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159552255 + ... + 159552321.

It is an arithmetic number, because the mean of its divisors is an integer number (52093440).

Almost surely, 210690003296 is an apocalyptic number.

10690003296 is a gapful number since it is divisible by the number (16) 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 10690003296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003880960).

10690003296 is an abundant number, since it is smaller than the sum of its proper divisors (29317758624).

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

10690003296 is a wasteful number, since it uses less digits than its factorization.

10690003296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 10690003296 in words is "ten billion, six hundred ninety million, three thousand, two hundred ninety-six".