Search a number
-
+
11397467440 = 2453143110663
BaseRepresentation
bin10101001110101011…
…11000110100110000
31002102022100100001201
422213111320310300
5141320222424230
65122543140544
7552303606022
oct124725706460
932368310051
1011397467440
114919633a87
122260ba4754
1310c8390298
147a19b6012
1546a9025ca
hex2a7578d30

11397467440 has 80 divisors (see below), whose sum is σ = 27419959296. Its totient is φ = 4401273600.

The previous prime is 11397467413. The next prime is 11397467453. The reversal of 11397467440 is 4476479311.

11397467440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063549 + ... + 1074211.

Almost surely, 211397467440 is an apocalyptic number.

11397467440 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 11397467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709979648).

11397467440 is an abundant number, since it is smaller than the sum of its proper divisors (16022491856).

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

11397467440 is a wasteful number, since it uses less digits than its factorization.

11397467440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 11397467440 in words is "eleven billion, three hundred ninety-seven million, four hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 431 496 620 862 1240 1724 2155 2480 3448 4310 6896 8620 10663 13361 17240 21326 26722 34480 42652 53315 53444 66805 85304 106630 106888 133610 170608 213260 213776 267220 330553 426520 534440 661106 853040 1068880 1322212 1652765 2644424 3305530 4595753 5288848 6611060 9191506 13222120 18383012 22978765 26444240 36766024 45957530 73532048 91915060 142468343 183830120 284936686 367660240 569873372 712341715 1139746744 1424683430 2279493488 2849366860 5698733720 11397467440