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10590669996 = 22317192314639
BaseRepresentation
bin10011101110100000…
…01100110010101100
31000100002012210000220
421313100030302230
5133142202414441
64510522451340
7523306131624
oct116720146254
930302183026
1010590669996
114545180135
122076963b50
13cca19a44a
1472679b884
1541eb86466
hex27740ccac

10590669996 has 144 divisors (see below), whose sum is σ = 28511723520. Its totient is φ = 3045496320.

The previous prime is 10590669961. The next prime is 10590669997. The reversal of 10590669996 is 69996609501.

It is a super-2 number, since 2×105906699962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10590669997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2280645 + ... + 2285283.

It is an arithmetic number, because the mean of its divisors is an integer number (197998080).

Almost surely, 210590669996 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 10590669996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255861760).

10590669996 is an abundant number, since it is smaller than the sum of its proper divisors (17921053524).

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

10590669996 is a wasteful number, since it uses less digits than its factorization.

10590669996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 60.

The spelling of 10590669996 in words is "ten billion, five hundred ninety million, six hundred sixty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 19 31 34 38 51 57 62 68 76 93 102 114 124 186 204 228 323 361 372 527 589 646 722 969 1054 1083 1178 1292 1444 1581 1767 1938 2108 2166 2356 3162 3534 3876 4332 4639 6137 6324 7068 9278 10013 11191 12274 13917 18411 18556 20026 22382 24548 27834 30039 33573 36822 40052 44764 55668 60078 67146 73644 78863 88141 120156 134292 143809 157726 176282 190247 236589 264423 287618 315452 352564 380494 431427 473178 528846 570741 575236 760988 862854 946356 1057692 1141482 1498397 1674679 1725708 2282964 2444753 2732371 2996794 3349358 4495191 4889506 5024037 5464742 5993588 6698716 7334259 8197113 8990382 9779012 10048074 10929484 14668518 16394226 17980764 20096148 28469543 29337036 32788452 46450307 51915049 56939086 85408629 92900614 103830098 113878172 139350921 155745147 170817258 185801228 207660196 278701842 311490294 341634516 557403684 622980588 882555833 1765111666 2647667499 3530223332 5295334998 10590669996