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11490673882116 = 223111338031760767
BaseRepresentation
bin1010011100110110000110…
…0010001111010000000100
31111200111102211010111220110
42213031201202033100010
53001230400003211431
640234424231433020
72264113416312642
oct247154142172004
944614384114813
1011490673882116
113730192932a70
121356b77525770
1365474837aa80
142ba219d32192
1514dd73693346
hexa736188f404

11490673882116 has 96 divisors (see below), whose sum is σ = 31507210764288. Its totient is φ = 3213327519360.

The previous prime is 11490673882049. The next prime is 11490673882117. The reversal of 11490673882116 is 61128837609411.

It is not an unprimeable number, because it can be changed into a prime (11490673882117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5645565 + ... + 7406331.

It is an arithmetic number, because the mean of its divisors is an integer number (328200112128).

Almost surely, 211490673882116 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 11490673882116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753605382144).

11490673882116 is an abundant number, since it is smaller than the sum of its proper divisors (20016536882172).

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

11490673882116 is a wasteful number, since it uses less digits than its factorization.

11490673882116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764601 (or 1764599 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 11490673882116 in words is "eleven trillion, four hundred ninety billion, six hundred seventy-three million, eight hundred eighty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 3803 7606 11409 15212 22818 41833 45636 49439 83666 98878 125499 148317 167332 197756 250998 296634 501996 543829 593268 1087658 1631487 1760767 2175316 3262974 3521534 5282301 6525948 7043068 10564602 19368437 21129204 22889971 38736874 45779942 58105311 68669913 77473748 91559884 116210622 137339826 232421244 251789681 274679652 503579362 755369043 1007158724 1510738086 3021476172 6696196901 13392393802 20088590703 26784787604 40177181406 73658165911 80354362812 87050559713 147316331822 174101119426 220974497733 261151679139 294632663644 348202238852 441948995466 522303358278 883897990932 957556156843 1044606716556 1915112313686 2872668470529 3830224627372 5745336941058 11490673882116