Search a number
-
+
9972334758 = 2331389137827
BaseRepresentation
bin10010100100110010…
…11100000010100110
3221201222201002112210
421102121130002212
5130410404203013
64325313424250
7502060306161
oct112231340246
927658632483
109972334758
114258139781
121b2386b086
13c2c0520c9
146a8600ad8
153d5745cc3
hex25265c0a6

9972334758 has 32 divisors (see below), whose sum is σ = 20641121280. Its totient is φ = 3208589280.

The previous prime is 9972334753. The next prime is 9972334781. The reversal of 9972334758 is 8574332799.

It is a super-2 number, since 2×99723347582 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 9972334698 and 9972334707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972334751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441 + ... + 141267.

It is an arithmetic number, because the mean of its divisors is an integer number (645035040).

Almost surely, 29972334758 is an apocalyptic number.

9972334758 is an abundant number, since it is smaller than the sum of its proper divisors (10668786522).

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

9972334758 is a wasteful number, since it uses less digits than its factorization.

9972334758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138252.

The product of its digits is 11430720, while the sum is 57.

The square root of 9972334758 is about 99861.5779867312. The cubic root of 9972334758 is about 2152.4460898303.

The spelling of 9972334758 in words is "nine billion, nine hundred seventy-two million, three hundred thirty-four thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 31 62 93 186 389 778 1167 2334 12059 24118 36177 72354 137827 275654 413481 826962 4272637 8545274 12817911 25635822 53614703 107229406 160844109 321688218 1662055793 3324111586 4986167379 9972334758