Search a number
-
+
11684155440 = 2435311570451
BaseRepresentation
bin10101110000110111…
…00001000000110000
31010011021210121001210
422320123201000300
5142412120433230
65211224000120
7562354453056
oct127033410060
933137717053
1011684155440
114a56445a11
122321000040
1311428a9b59
147cbac21d6
15485b81eb0
hex2b86e1030

11684155440 has 80 divisors (see below), whose sum is σ = 37389321216. Its totient is φ = 3015264000.

The previous prime is 11684155429. The next prime is 11684155487. The reversal of 11684155440 is 4455148611.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777786 + ... + 792665.

Almost surely, 211684155440 is an apocalyptic number.

11684155440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11684155440 is an abundant number, since it is smaller than the sum of its proper divisors (25705165776).

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

11684155440 is a wasteful number, since it uses less digits than its factorization.

11684155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570498 (or 1570492 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 11684155440 in words is "eleven billion, six hundred eighty-four million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 1570451 3140902 4711353 6281804 7852255 9422706 12563608 15704510 18845412 23556765 25127216 31409020 37690824 47113530 48683981 62818040 75381648 94227060 97367962 125636080 146051943 188454120 194735924 243419905 292103886 376908240 389471848 486839810 584207772 730259715 778943696 973679620 1168415544 1460519430 1947359240 2336831088 2921038860 3894718480 5842077720 11684155440