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11082027726 = 23271123172293
BaseRepresentation
bin10100101001000101…
…00101001011001110
31001121022210100010100
422110202211023032
5140143444341401
65031354151530
7541423452510
oct122442451316
931538710110
1011082027726
114777574500
1221934225a6
131077c17973
14771b43bb0
1544cd93b86
hex2948a52ce

11082027726 has 144 divisors (see below), whose sum is σ = 30271000032. Its totient is φ = 2868117120.

The previous prime is 11082027709. The next prime is 11082027743. The reversal of 11082027726 is 62772028011.

It is an interprime number because it is at equal distance from previous prime (11082027709) and next prime (11082027743).

It is a super-2 number, since 2×110820277262 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4831836 + ... + 4834128.

It is an arithmetic number, because the mean of its divisors is an integer number (210215278).

Almost surely, 211082027726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11082027726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135500016).

11082027726 is an abundant number, since it is smaller than the sum of its proper divisors (19188972306).

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

11082027726 is a wasteful number, since it uses less digits than its factorization.

11082027726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11082027726 in words is "eleven billion, eighty-two million, twenty-seven thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 317 363 462 634 693 726 847 951 1089 1386 1694 1902 2178 2219 2293 2541 2853 3487 4438 4586 5082 5706 6657 6879 6974 7623 10461 13314 13758 15246 16051 19971 20637 20922 24409 25223 31383 32102 38357 39942 41274 48153 48818 50446 62766 73227 75669 76714 96306 115071 144459 146454 151338 176561 219681 227007 230142 268499 277453 288918 345213 353122 439362 454014 529683 536998 554906 690426 726881 805497 832359 1059366 1453762 1589049 1610994 1664718 1942171 2180643 2416491 2497077 3178098 3884342 4361286 4832982 4994154 5088167 5826513 6541929 7995691 10176334 11653026 13083858 15264501 15991382 17479539 23987073 30529002 34959078 45793503 47974146 55969837 71961219 87952601 91587006 111939674 143922438 167909511 175905202 263857803 335819022 503728533 527715606 615668207 791573409 1007457066 1231336414 1583146818 1847004621 3694009242 5541013863 11082027726