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11705740368 = 2437311278849
BaseRepresentation
bin10101110011011011…
…10110110001010000
31010012210102020000120
422321231312301100
5142433132142433
65213314350240
7563036102640
oct127155666120
933183366016
1011705740368
114a67648aa3
12232828b380
1311471c67ba
147d0900520
154879e77b3
hex2b9b76c50

11705740368 has 160 divisors (see below), whose sum is σ = 35959603200. Its totient is φ = 3210762240.

The previous prime is 11705740367. The next prime is 11705740369. The reversal of 11705740368 is 86304750711.

It is an interprime number because it is at equal distance from previous prime (11705740367) and next prime (11705740369).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11705740367) 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, 1318408 + ... + 1327256.

It is an arithmetic number, because the mean of its divisors is an integer number (224747520).

Almost surely, 211705740368 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 11705740368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979801600).

11705740368 is an abundant number, since it is smaller than the sum of its proper divisors (24253862832).

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

11705740368 is a wasteful number, since it uses less digits than its factorization.

11705740368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 11705740368 in words is "eleven billion, seven hundred five million, seven hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 127 168 186 217 248 254 336 372 381 434 496 508 651 744 762 868 889 1016 1302 1488 1524 1736 1778 2032 2604 2667 3048 3472 3556 3937 5208 5334 6096 7112 7874 8849 10416 10668 11811 14224 15748 17698 21336 23622 26547 27559 31496 35396 42672 47244 53094 55118 61943 62992 70792 82677 94488 106188 110236 123886 141584 165354 185829 188976 212376 220472 247772 274319 330708 371658 424752 440944 495544 548638 661416 743316 822957 991088 1097276 1123823 1322832 1486632 1645914 1920233 2194552 2247646 2973264 3291828 3371469 3840466 4389104 4495292 5760699 6583656 6742938 7680932 7866761 8990584 11521398 13167312 13485876 15361864 15733522 17981168 23042796 23600283 26971752 30723728 31467044 34838513 46085592 47200566 53943504 62934088 69677026 92171184 94401132 104515539 125868176 139354052 188802264 209031078 243869591 278708104 377604528 418062156 487739182 557416208 731608773 836124312 975478364 1463217546 1672248624 1950956728 2926435092 3901913456 5852870184 11705740368