Search a number
-
+
10075768696 = 237416171941
BaseRepresentation
bin10010110001001000…
…00000011101111000
3222000012100002020101
421120210000131320
5131113344044241
64343450405144
7504454422640
oct113044003570
928005302211
1010075768696
114300566174
121b524307b4
13c475c8916
146b8247520
153de877e31
hex258900778

10075768696 has 64 divisors (see below), whose sum is σ = 22480436160. Its totient is φ = 4143744000.

The previous prime is 10075768687. The next prime is 10075768697. The reversal of 10075768696 is 69686757001.

It is a super-2 number, since 2×100757686962 (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 (10075768697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104086 + ... + 176026.

It is an arithmetic number, because the mean of its divisors is an integer number (351256815).

Almost surely, 210075768696 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 10075768696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240218080).

10075768696 is an abundant number, since it is smaller than the sum of its proper divisors (12404667464).

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

10075768696 is a wasteful number, since it uses less digits than its factorization.

10075768696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72056 (or 72052 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 10075768696 in words is "ten billion, seventy-five million, seven hundred sixty-eight thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 41 56 61 82 122 164 244 287 328 427 488 574 854 1148 1708 2296 2501 3416 5002 10004 17507 20008 35014 70028 71941 140056 143882 287764 503587 575528 1007174 2014348 2949581 4028696 4388401 5899162 8776802 11798324 17553604 20647067 23596648 30718807 35107208 41294134 61437614 82588268 122875228 165176536 179924441 245750456 359848882 719697764 1259471087 1439395528 2518942174 5037884348 10075768696