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11107669968 = 243510327737
BaseRepresentation
bin10100101100001000…
…11001011111010000
31001200010001002200000
422112010121133100
5140222030414333
65034111530000
7542154431313
oct122604313720
931603032600
1011107669968
11478aa9893a
12219bb29900
1310803252a5
147752da97a
1545025b713
hex2961197d0

11107669968 has 120 divisors (see below), whose sum is σ = 32551541568. Its totient is φ = 3666477312.

The previous prime is 11107669957. The next prime is 11107669981. The reversal of 11107669968 is 86996670111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386596 + ... + 414332.

Almost surely, 211107669968 is an apocalyptic number.

11107669968 is a gapful number since it is divisible by the number (18) 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 11107669968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275770784).

11107669968 is an abundant number, since it is smaller than the sum of its proper divisors (21443871600).

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

11107669968 is a wasteful number, since it uses less digits than its factorization.

11107669968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27863 (or 27845 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 11107669968 in words is "eleven billion, one hundred seven million, six hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 162 206 216 243 309 324 412 432 486 618 648 824 927 972 1236 1296 1648 1854 1944 2472 2781 3708 3888 4944 5562 7416 8343 11124 14832 16686 22248 25029 27737 33372 44496 50058 55474 66744 83211 100116 110948 133488 166422 200232 221896 249633 332844 400464 443792 499266 665688 748899 998532 1331376 1497798 1997064 2246697 2856911 2995596 3994128 4493394 5713822 5991192 6740091 8570733 8986788 11427644 11982384 13480182 17141466 17973576 22855288 25712199 26960364 34282932 35947152 45710576 51424398 53920728 68565864 77136597 102848796 107841456 137131728 154273194 205697592 231409791 308546388 411395184 462819582 617092776 694229373 925639164 1234185552 1388458746 1851278328 2776917492 3702556656 5553834984 11107669968