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11861738960 = 2456710121911
BaseRepresentation
bin10110000110000001…
…11100010111010000
31010121122221202212012
423003000330113100
5143243101121320
65241010122052
7566642055221
oct130300742720
933548852765
1011861738960
115037708055
122370580328
131170615b66
1480750b248
1549655e4c5
hex2c303c5d0

11861738960 has 80 divisors (see below), whose sum is σ = 28268583552. Its totient is φ = 4627392000.

The previous prime is 11861738939. The next prime is 11861738989. The reversal of 11861738960 is 6983716811.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11861738899 and 11861738908.

It is a congruent number.

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, 530405 + ... + 552315.

Almost surely, 211861738960 is an apocalyptic number.

11861738960 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 11861738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134291776).

11861738960 is an abundant number, since it is smaller than the sum of its proper divisors (16406844592).

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

11861738960 is a wasteful number, since it uses less digits than its factorization.

11861738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22092 (or 22086 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 11861738960 in words is "eleven billion, eight hundred sixty-one million, seven hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 101 134 202 268 335 404 505 536 670 808 1010 1072 1340 1616 2020 2680 4040 5360 6767 8080 13534 21911 27068 33835 43822 54136 67670 87644 108272 109555 135340 175288 219110 270680 350576 438220 541360 876440 1468037 1752880 2213011 2936074 4426022 5872148 7340185 8852044 11065055 11744296 14680370 17704088 22130110 23488592 29360740 35408176 44260220 58721480 88520440 117442960 148271737 177040880 296543474 593086948 741358685 1186173896 1482717370 2372347792 2965434740 5930869480 11861738960