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11397214480 = 2453119124061
BaseRepresentation
bin10101001110101001…
…11011000100010000
31002102021212111001211
422213110323010100
5141320141330410
65122533505504
7552301503361
oct124724730420
932367774054
1011397214480
114919480a23
122260aa2294
1310c83020c2
147a194bb68
1546a8a268a
hex2a753b110

11397214480 has 80 divisors (see below), whose sum is σ = 27497668608. Its totient is φ = 4388544000.

The previous prime is 11397214459. The next prime is 11397214483. The reversal of 11397214480 is 8441279311.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11397214483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461650 + ... + 485710.

Almost surely, 211397214480 is an apocalyptic number.

11397214480 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 11397214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13748834304).

11397214480 is an abundant number, since it is smaller than the sum of its proper divisors (16100454128).

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

11397214480 is a wasteful number, since it uses less digits than its factorization.

11397214480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24296 (or 24290 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 11397214480 in words is "eleven billion, three hundred ninety-seven million, two hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 191 248 310 382 496 620 764 955 1240 1528 1910 2480 3056 3820 5921 7640 11842 15280 23684 24061 29605 47368 48122 59210 94736 96244 118420 120305 192488 236840 240610 384976 473680 481220 745891 962440 1491782 1924880 2983564 3729455 4595651 5967128 7458910 9191302 11934256 14917820 18382604 22978255 29835640 36765208 45956510 59671280 73530416 91913020 142465181 183826040 284930362 367652080 569860724 712325905 1139721448 1424651810 2279442896 2849303620 5698607240 11397214480