Search a number
-
+
10969713700 = 22521123574231
BaseRepresentation
bin10100011011101100…
…01000110000100100
31001022111110012020121
422031312020300210
5134431221314300
65012303011324
7535561012411
oct121566106044
931274405217
1010969713700
11471a1322a0
122161899b44
13105a88226a
14760c69108
154430aa81a
hex28dd88c24

10969713700 has 72 divisors (see below), whose sum is σ = 25985461824. Its totient is φ = 3986352000.

The previous prime is 10969713659. The next prime is 10969713701. The reversal of 10969713700 is 731796901.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10969713701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2590585 + ... + 2594815.

It is an arithmetic number, because the mean of its divisors is an integer number (360909192).

Almost surely, 210969713700 is an apocalyptic number.

10969713700 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 10969713700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12992730912).

10969713700 is an abundant number, since it is smaller than the sum of its proper divisors (15015748124).

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

10969713700 is a wasteful number, since it uses less digits than its factorization.

10969713700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 43.

The spelling of 10969713700 in words is "ten billion, nine hundred sixty-nine million, seven hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2357 4231 4714 8462 9428 11785 16924 21155 23570 25927 42310 46541 47140 51854 58925 84620 93082 103708 105775 117850 129635 186164 211550 232705 235700 259270 423100 465410 518540 648175 930820 1163525 1296350 2327050 2592700 4654100 9972467 19944934 39889868 49862335 99724670 109697137 199449340 219394274 249311675 438788548 498623350 548485685 997246700 1096971370 2193942740 2742428425 5484856850 10969713700