Search a number
-
+
113819542452 = 2232711227180883
BaseRepresentation
bin110101000000000101…
…1000110001110110100
3101212210021112211121100
41222000023012032310
53331100300324302
6124142111450100
711136361101510
oct1520013061664
9355707484540
10113819542452
11442a8189970
121a085b26930
13a96b9173b5
14571a5a1140
152e625c3d1c
hex1a802c63b4

113819542452 has 144 divisors (see below), whose sum is σ = 360286198272. Its totient is φ = 29433119040.

The previous prime is 113819542409. The next prime is 113819542511. The reversal of 113819542452 is 254245918311.

113819542452 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 195 + 4 + 2 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113819542398 and 113819542407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538803 + ... + 719685.

It is an arithmetic number, because the mean of its divisors is an integer number (2501987488).

Almost surely, 2113819542452 is an apocalyptic number.

113819542452 is a gapful number since it is divisible by the number (12) 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 113819542452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180143099136).

113819542452 is an abundant number, since it is smaller than the sum of its proper divisors (246466655820).

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

113819542452 is a wasteful number, since it uses less digits than its factorization.

113819542452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181138 (or 181133 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 113819542452 in words is "one hundred thirteen billion, eight hundred nineteen million, five hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 227 231 252 308 396 454 462 681 693 908 924 1362 1386 1589 2043 2497 2724 2772 3178 4086 4767 4994 6356 7491 8172 9534 9988 14301 14982 17479 19068 22473 28602 29964 34958 44946 52437 57204 69916 89892 104874 157311 180883 209748 314622 361766 542649 629244 723532 1085298 1266181 1627947 1989713 2170596 2532362 3255894 3798543 3979426 5064724 5969139 6511788 7597086 7958852 11395629 11938278 13927991 15194172 17907417 22791258 23876556 27855982 35814834 41060441 41783973 45582516 55711964 71629668 82120882 83567946 123181323 125351919 164241764 167135892 246362646 250703838 287423087 369543969 451664851 492725292 501407676 574846174 739087938 862269261 903329702 1149692348 1354994553 1478175876 1724538522 1806659404 2586807783 2709989106 3161653957 3449077044 4064983659 5173615566 5419978212 6323307914 8129967318 9484961871 10347231132 12646615828 16259934636 18969923742 28454885613 37939847484 56909771226 113819542452