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10616111660 = 2257211289527
BaseRepresentation
bin10011110001100010…
…10000001000101100
31000101212002100102202
421320301100020230
5133220211033120
64513232041032
7524035313600
oct117061201054
930355070382
1010616111660
114558577900
122083393178
13100253769b
14729d01500
1542200e875
hex278c5022c

10616111660 has 108 divisors (see below), whose sum is σ = 28505894256. Its totient is φ = 3308880960.

The previous prime is 10616111647. The next prime is 10616111687. The reversal of 10616111660 is 6611161601.

It is a super-2 number, since 2×106161116602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73817 + ... + 163343.

Almost surely, 210616111660 is an apocalyptic number.

10616111660 is a gapful number since it is divisible by the number (10) 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 10616111660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252947128).

10616111660 is an abundant number, since it is smaller than the sum of its proper divisors (17889782596).

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

10616111660 is a wasteful number, since it uses less digits than its factorization.

10616111660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89572 (or 89552 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 10616111660 in words is "ten billion, six hundred sixteen million, one hundred eleven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 121 140 154 196 220 242 245 308 385 484 490 539 605 770 847 980 1078 1210 1540 1694 2156 2420 2695 3388 4235 5390 5929 8470 10780 11858 16940 23716 29645 59290 89527 118580 179054 358108 447635 626689 895270 984797 1253378 1790540 1969594 2506756 3133445 3939188 4386823 4923985 6266890 6893579 8773646 9847970 10832767 12533780 13787158 17547292 19695940 21665534 21934115 27574316 34467895 43331068 43868230 48255053 54163835 68935790 75829369 87736460 96510106 108327670 137871580 151658738 193020212 216655340 241275265 303317476 379146845 482550530 530805583 758293690 965101060 1061611166 1516587380 2123222332 2654027915 5308055830 10616111660