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10945762884 = 223272472532
BaseRepresentation
bin10100011000110101…
…10001011001000100
31001020211101100220100
422030122301121010
5134404103403014
65010045404100
7535150310100
oct121432613104
931224340810
1010945762884
114707663731
122155869630
131055917794
1475b9d2900
15440e29009
hex28c6b1644

10945762884 has 243 divisors, whose sum is σ = 33517309917. Its totient is φ = 3003069888.

The previous prime is 10945762879. The next prime is 10945762897. The reversal of 10945762884 is 48826754901.

It is a happy number.

The square root of 10945762884 is 104622.

It is a perfect power (a square), and thus also a powerful number.

10945762884 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 5 + 7 + 628 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7890768900 + 3054993984 = 88830^2 + 55272^2 .

It is a super-2 number, since 2×109457628842 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10945762884.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 206523802 + ... + 206523854.

Almost surely, 210945762884 is an apocalyptic number.

10945762884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10945762884 is the 104622-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10945762884

10945762884 is an abundant number, since it is smaller than the sum of its proper divisors (22571547033).

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

10945762884 is a wasteful number, since it uses less digits than its factorization.

10945762884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10945762884 in words is "ten billion, nine hundred forty-five million, seven hundred sixty-two thousand, eight hundred eighty-four".