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11133266532544 = 2613131148368879
BaseRepresentation
bin1010001000000010101001…
…1001011001100011000000
31110102022220111010222012001
42202000222121121203000
52424401412213020134
635402315123513344
72226231503053222
oct242005231314300
943368814128161
1011133266532544
113602656794312
1212b9850528854
13629b29c90880
142a6bd27c8412
151449061ae414
hexa202a6598c0

11133266532544 has 112 divisors (see below), whose sum is σ = 23990136952320. Its totient is φ = 5095693624320.

The previous prime is 11133266532533. The next prime is 11133266532571. The reversal of 11133266532544 is 44523566233111.

It is a happy number.

It is a super-2 number, since 2×111332665325442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11133266532494 and 11133266532503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161600697 + ... + 161669575.

It is an arithmetic number, because the mean of its divisors is an integer number (214197651360).

Almost surely, 211133266532544 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 11133266532544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995068476160).

11133266532544 is an abundant number, since it is smaller than the sum of its proper divisors (12856870419776).

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

11133266532544 is a wasteful number, since it uses less digits than its factorization.

11133266532544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70518 (or 70508 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 46.

The spelling of 11133266532544 in words is "eleven trillion, one hundred thirty-three billion, two hundred sixty-six million, five hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 131 208 262 416 524 832 1048 1483 1703 2096 2966 3406 4192 5932 6812 8384 11864 13624 19279 23728 27248 38558 47456 54496 68879 77116 94912 108992 137758 154232 194273 275516 308464 388546 551032 616928 777092 895427 1102064 1233856 1554184 1790854 2204128 2525549 3108368 3581708 4408256 5051098 6216736 7163416 9023149 10102196 12433472 14326832 18046298 20204392 28653664 36092596 40408784 57307328 72185192 80817568 102147557 117300937 144370384 161635136 204295114 234601874 288740768 408590228 469203748 577481536 817180456 938407496 1327918241 1634360912 1876814992 2655836482 3268721824 3753629984 5311672964 6537443648 7507259968 10623345928 13381329967 21246691856 26762659934 42493383712 53525319868 84986767424 107050639736 173957289571 214101279472 347914579142 428202558944 695829158284 856405117888 1391658316568 2783316633136 5566633266272 11133266532544