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10722994920 = 23335116071487
BaseRepresentation
bin10011111110010001…
…11110101011101000
31000200022012120201000
421333020332223220
5133430041314140
64532010555000
7526503644601
oct117710765350
930608176630
1010722994920
11460293a880
1220b3138a60
13101b71b211
1473a1a4da8
1542b5c3a30
hex27f23eae8

10722994920 has 256 divisors, whose sum is σ = 39083212800. Its totient is φ = 2593486080.

The previous prime is 10722994903. The next prime is 10722994949. The reversal of 10722994920 is 2949922701.

10722994920 is a `hidden beast` number, since 1 + 0 + 72 + 2 + 99 + 492 + 0 = 666.

It is a super-2 number, since 2×107229949202 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7210417 + ... + 7211903.

It is an arithmetic number, because the mean of its divisors is an integer number (152668800).

Almost surely, 210722994920 is an apocalyptic number.

10722994920 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 10722994920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19541606400).

10722994920 is an abundant number, since it is smaller than the sum of its proper divisors (28360217880).

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

10722994920 is a wasteful number, since it uses less digits than its factorization.

10722994920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

It can be divided in two parts, 1072 and 2994920, that added together give a palindrome (2995992).

The spelling of 10722994920 in words is "ten billion, seven hundred twenty-two million, nine hundred ninety-four thousand, nine hundred twenty".