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10942582296 = 23319293492371
BaseRepresentation
bin10100011000011101…
…01000111000011000
31001020121101202221210
422030032220320120
5134402300113141
65005453303120
7535111262202
oct121416507030
931217352853
1010942582296
114705891048
122154794aa0
131055072b89
1475b405772
154409eb916
hex28c3a8e18

10942582296 has 128 divisors (see below), whose sum is σ = 29887200000. Its totient is φ = 3325432320.

The previous prime is 10942582271. The next prime is 10942582309. The reversal of 10942582296 is 69228524901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4613991 + ... + 4616361.

It is an arithmetic number, because the mean of its divisors is an integer number (233493750).

Almost surely, 210942582296 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 10942582296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943600000).

10942582296 is an abundant number, since it is smaller than the sum of its proper divisors (18944617704).

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

10942582296 is a wasteful number, since it uses less digits than its factorization.

10942582296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 10942582296 in words is "ten billion, nine hundred forty-two million, five hundred eighty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 349 456 551 696 698 1047 1102 1396 1653 2094 2204 2371 2792 3306 4188 4408 4742 6612 6631 7113 8376 9484 10121 13224 13262 14226 18968 19893 20242 26524 28452 30363 39786 40484 45049 53048 56904 60726 68759 79572 80968 90098 121452 135147 137518 159144 180196 192299 206277 242904 270294 275036 360392 384598 412554 540588 550072 576897 769196 825108 827479 1081176 1153794 1306421 1538392 1650216 1654958 2307588 2482437 2612842 3309916 3919263 4615176 4964874 5225684 6619832 7838526 9929748 10451368 15677052 15722101 19859496 23996891 31354104 31444202 47166303 47993782 62888404 71990673 94332606 95987564 125776808 143981346 188665212 191975128 287962692 377330424 455940929 575925384 911881858 1367822787 1823763716 2735645574 3647527432 5471291148 10942582296