Search a number
-
+
113826615552 = 2833131266767
BaseRepresentation
bin110101000000010011…
…0000101000100000000
3101212210202212012002000
41222000212011010000
53331104103144202
6124142523224000
711136505161006
oct1520046050400
9355722765060
10113826615552
1144301180001
121a088378000
13a970222970
14571b4c2a76
152e6301e91c
hex1a80985100

113826615552 has 144 divisors (see below), whose sum is σ = 362498330880. Its totient is φ = 35023546368.

The previous prime is 113826615541. The next prime is 113826615559. The reversal of 113826615552 is 255516628311.

113826615552 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 26 + 615 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 113826615498 and 113826615507.

It is not an unprimeable number, because it can be changed into a prime (113826615559) 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, 543528 + ... + 723239.

It is an arithmetic number, because the mean of its divisors is an integer number (2517349520).

Almost surely, 2113826615552 is an apocalyptic number.

113826615552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113826615552 is an abundant number, since it is smaller than the sum of its proper divisors (248671715328).

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

113826615552 is a wasteful number, since it uses less digits than its factorization.

113826615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266805 (or 1266785 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 113826615552 in words is "one hundred thirteen billion, eight hundred twenty-six million, six hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 89856 1266767 2533534 3800301 5067068 7600602 10134136 11400903 15201204 16467971 20268272 22801806 30402408 32935942 34202709 40536544 45603612 49403913 60804816 65871884 68405418 81073088 91207224 98807826 121609632 131743768 136810836 148211739 162146176 182414448 197615652 243219264 263487536 273621672 296423478 324292352 364828896 395231304 444635217 486438528 526975072 547243344 592846956 729657792 790462608 889270434 972877056 1053950144 1094486688 1185693912 1459315584 1580925216 1778540868 2107900288 2188973376 2371387824 2918631168 3161850432 3557081736 4215800576 4377946752 4742775648 6323700864 7114163472 8755893504 9485551296 12647401728 14228326944 18971102592 28456653888 37942205184 56913307776 113826615552