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10723078080 = 2634511213263
BaseRepresentation
bin10011111110010010…
…10010111111000000
31000200022100210210000
421333021102333000
5133430101444310
64532012440000
7526504442211
oct117711227700
930608323700
1010723078080
114602997300
1220b3179000
13101b74a020
1473a1c7408
1542b5dd4c0
hex27f252fc0

10723078080 has 840 divisors, whose sum is σ = 45323552736. Its totient is φ = 2390446080.

The previous prime is 10723078061. The next prime is 10723078097. The reversal of 10723078080 is 8087032701.

It is a super-2 number, since 2×107230780802 (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 zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40772029 + ... + 40772291.

Almost surely, 210723078080 is an apocalyptic number.

10723078080 is a gapful number since it is divisible by the number (10) 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 10723078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661776368).

10723078080 is an abundant number, since it is smaller than the sum of its proper divisors (34600474656).

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

10723078080 is a wasteful number, since it uses less digits than its factorization.

10723078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 297 counting only the distinct ones).

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

The spelling of 10723078080 in words is "ten billion, seven hundred twenty-three million, seventy-eight thousand, eighty".