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11999378496 = 263713964231
BaseRepresentation
bin10110010110011011…
…11111110001000000
31010222020221120210210
423023031333301000
5144033320102441
65302404154120
7603233014530
oct131315776100
933866846723
1011999378496
1150a8377736
1223aa698940
131192ca7981
1481b8d94c0
154a369b616
hex2cb37fc40

11999378496 has 112 divisors (see below), whose sum is σ = 36545438720. Its totient is φ = 3403676160.

The previous prime is 11999378483. The next prime is 11999378509. The reversal of 11999378496 is 69487399911.

It is an interprime number because it is at equal distance from previous prime (11999378483) and next prime (11999378509).

It is a tau number, because it is divible by the number of its divisors (112).

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, 154701 + ... + 218931.

It is an arithmetic number, because the mean of its divisors is an integer number (326298560).

Almost surely, 211999378496 is an apocalyptic number.

11999378496 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 11999378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272719360).

11999378496 is an abundant number, since it is smaller than the sum of its proper divisors (24546060224).

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

11999378496 is a wasteful number, since it uses less digits than its factorization.

11999378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64392 (or 64382 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 66.

The spelling of 11999378496 in words is "eleven billion, nine hundred ninety-nine million, three hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 139 168 192 224 278 336 417 448 556 672 834 973 1112 1344 1668 1946 2224 2919 3336 3892 4448 5838 6672 7784 8896 11676 13344 15568 23352 26688 31136 46704 62272 64231 93408 128462 186816 192693 256924 385386 449617 513848 770772 899234 1027696 1348851 1541544 1798468 2055392 2697702 3083088 3596936 4110784 5395404 6166176 7193872 8928109 10790808 12332352 14387744 17856218 21581616 26784327 28775488 35712436 43163232 53568654 62496763 71424872 86326464 107137308 124993526 142849744 187490289 214274616 249987052 285699488 374980578 428549232 499974104 571398976 749961156 857098464 999948208 1499922312 1714196928 1999896416 2999844624 3999792832 5999689248 11999378496