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11626111142052 = 223113122931239067
BaseRepresentation
bin1010100100101110101000…
…1110011000100010100100
31112011110000200020011221220
42221023222032120202210
53010440233423021202
640420543422140340
72306646605113041
oct251135216304244
945143020204856
1011626111142052
113782673713a50
1213792751216b0
1366445086a074
142c29c75a21c8
1515264da31abc
hexa92ea3988a4

11626111142052 has 96 divisors (see below), whose sum is σ = 30561721257984. Its totient is φ = 3407927126400.

The previous prime is 11626111141979. The next prime is 11626111142123. The reversal of 11626111142052 is 25024111162611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8763423 + ... + 10002489.

It is an arithmetic number, because the mean of its divisors is an integer number (318351263104).

Almost surely, 211626111142052 is an apocalyptic number.

11626111142052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11626111142052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280860628992).

11626111142052 is an abundant number, since it is smaller than the sum of its proper divisors (18935610115932).

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

11626111142052 is a wasteful number, since it uses less digits than its factorization.

11626111142052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241409 (or 1241407 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 11626111142052 in words is "eleven trillion, six hundred twenty-six billion, one hundred eleven million, one hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 2293 4092 4586 6879 9172 13758 25223 27516 50446 71083 75669 100892 142166 151338 213249 284332 302676 426498 781913 852996 1239067 1563826 2345739 2478134 3127652 3717201 4691478 4956268 7434402 9382956 13629737 14868804 27259474 38411077 40889211 54518948 76822154 81778422 115233231 153644308 163556844 230466462 422521847 460932924 845043694 1267565541 1690087388 2535131082 2841180631 5070262164 5682361262 8523541893 11364722524 17047083786 31252986941 34094167572 62505973882 88076599561 93758960823 125011947764 176153199122 187517921646 264229798683 352306398244 375035843292 528459597366 968842595171 1056919194732 1937685190342 2906527785513 3875370380684 5813055571026 11626111142052