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10695924304 = 2413291979001
BaseRepresentation
bin10011111011000011…
…01101101001010000
31000121102021020210121
421331201231221100
5133401124034204
64525202440024
7526024566532
oct117541555120
930542236717
1010695924304
11459963026a
1220a6063014
131015c306c0
14736759852
15429027b54
hex27d86da50

10695924304 has 80 divisors (see below), whose sum is σ = 23206795920. Its totient is φ = 4741632000.

The previous prime is 10695924271. The next prime is 10695924307. The reversal of 10695924304 is 40342959601.

10695924304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14288400 + 10681635904 = 3780^2 + 103352^2 .

It is a super-2 number, since 2×106959243042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10695924307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183804 + ... + 1192804.

It is an arithmetic number, because the mean of its divisors is an integer number (290084949).

Almost surely, 210695924304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10695924304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603397960).

10695924304 is an abundant number, since it is smaller than the sum of its proper divisors (12510871616).

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

10695924304 is a wasteful number, since it uses less digits than its factorization.

10695924304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 10695924304 in words is "ten billion, six hundred ninety-five million, nine hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 197 208 232 377 394 464 754 788 1508 1576 2561 3016 3152 5122 5713 6032 9001 10244 11426 18002 20488 22852 36004 40976 45704 72008 74269 91408 117013 144016 148538 234026 261029 297076 468052 522058 594152 936104 1044116 1188304 1773197 1872208 2088232 3393377 3546394 4176464 6786754 7092788 13573508 14185576 23051561 27147016 28371152 46103122 51422713 54294032 92206244 102845426 184412488 205690852 368824976 411381704 668495269 822763408 1336990538 2673981076 5347962152 10695924304