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11387693296 = 24742511181
BaseRepresentation
bin10101001101100001…
…00110100011110000
31002101121221202110101
422212300212203300
5141310222141141
65121553442144
7552124540000
oct124660464360
932347852411
1011387693296
114914068581
122259870354
1310c634a475
147a0590000
15469b21531
hex2a6c268f0

11387693296 has 100 divisors (see below), whose sum is σ = 25863828984. Its totient is φ = 4856880000.

The previous prime is 11387693293. The next prime is 11387693299. The reversal of 11387693296 is 69239678311.

It is an interprime number because it is at equal distance from previous prime (11387693293) and next prime (11387693299).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11387693293) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9641826 + ... + 9643006.

Almost surely, 211387693296 is an apocalyptic number.

11387693296 is a gapful number since it is divisible by the number (16) 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 11387693296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931914492).

11387693296 is an abundant number, since it is smaller than the sum of its proper divisors (14476135688).

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

11387693296 is an equidigital number, since it uses as much as digits as its factorization.

11387693296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1441 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 55.

The spelling of 11387693296 in words is "eleven billion, three hundred eighty-seven million, six hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 251 343 392 502 686 784 1004 1181 1372 1757 2008 2362 2401 2744 3514 4016 4724 4802 5488 7028 8267 9448 9604 12299 14056 16534 18896 19208 24598 28112 33068 38416 49196 57869 66136 86093 98392 115738 132272 172186 196784 231476 296431 344372 405083 462952 592862 602651 688744 810166 925904 1185724 1205302 1377488 1620332 2075017 2371448 2410604 2835581 3240664 4150034 4742896 4821208 5671162 6481328 8300068 9642416 11342324 14525119 16600136 22684648 29050238 33200272 45369296 58100476 101675833 116200952 203351666 232401904 406703332 711730831 813406664 1423461662 1626813328 2846923324 5693846648 11387693296