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10192754244 = 2232331283463
BaseRepresentation
bin10010111111000100…
…10001011001000100
3222022100110120020110
421133202101121010
5131333321113434
64403230033020
7510404660451
oct113742213104
928270416213
1010192754244
1143605a9142
121b85648770
13c6590873a
146c99ba828
153e9c854e9
hex25f891644

10192754244 has 144 divisors (see below), whose sum is σ = 26008528896. Its totient is φ = 3100426560.

The previous prime is 10192754233. The next prime is 10192754293. The reversal of 10192754244 is 44245729101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22014357 + ... + 22014819.

It is an arithmetic number, because the mean of its divisors is an integer number (180614784).

Almost surely, 210192754244 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 10192754244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004264448).

10192754244 is an abundant number, since it is smaller than the sum of its proper divisors (15815774652).

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

10192754244 is a wasteful number, since it uses less digits than its factorization.

10192754244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 10192754244 in words is "ten billion, one hundred ninety-two million, seven hundred fifty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 83 92 93 124 138 166 186 249 276 332 372 463 498 713 926 961 996 1389 1426 1852 1909 1922 2139 2573 2778 2852 2883 3818 3844 4278 5146 5556 5727 5766 7636 7719 8556 10292 10649 11454 11532 14353 15438 21298 22103 22908 28706 30876 31947 38429 42596 43059 44206 57412 59179 63894 66309 76858 79763 86118 88412 115287 118358 127788 132618 153716 159526 172236 177537 230574 236716 239289 265236 319052 330119 355074 444943 461148 478578 660238 710148 883867 889886 957156 990357 1191299 1320476 1334829 1767734 1779772 1834549 1980714 2382598 2651601 2669658 3535468 3573897 3669098 3961428 4765196 5303202 5339316 5503647 7147794 7338196 10233689 10606404 11007294 14295588 20467378 22014588 27399877 30701067 36930269 40934756 54799754 61402134 73860538 82199631 109599508 110790807 122804268 147721076 164399262 221581614 328798524 443163228 849396187 1698792374 2548188561 3397584748 5096377122 10192754244