Search a number
-
+
111692030656 = 26611491571223
BaseRepresentation
bin110100000000101011…
…1010010001011000000
3101200022000021001002011
41220001113102023000
53312221124440111
6123151031502304
711032555411303
oct1500127221300
9350260231064
10111692030656
114340626a858
1219791527994
13a6bcc15c8b
145597bd2b3a
152d8a925021
hex1a015d22c0

111692030656 has 112 divisors (see below), whose sum is σ = 228415291200. Its totient is φ = 54169989120.

The previous prime is 111692030627. The next prime is 111692030713. The reversal of 111692030656 is 656030296111.

It is a happy number.

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, 91325661 + ... + 91326883.

Almost surely, 2111692030656 is an apocalyptic number.

111692030656 is a gapful number since it is divisible by the number (16) 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 111692030656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114207645600).

111692030656 is an abundant number, since it is smaller than the sum of its proper divisors (116723260544).

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

111692030656 is a wasteful number, since it uses less digits than its factorization.

111692030656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 111692030656 in words is "one hundred eleven billion, six hundred ninety-two million, thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 149 157 244 298 314 488 596 628 976 1192 1223 1256 1952 2384 2446 2512 3904 4768 4892 5024 9089 9536 9577 9784 10048 18178 19154 19568 23393 36356 38308 39136 46786 72712 74603 76616 78272 93572 145424 149206 153232 182227 187144 192011 290848 298412 306464 364454 374288 384022 581696 596824 612928 728908 748576 768044 1193648 1426973 1457816 1497152 1536088 2387296 2853946 2915632 3072176 4774592 5707892 5831264 6144352 11115847 11415784 11662528 11712671 12288704 22231694 22831568 23425342 28609639 44463388 45663136 46850684 57219278 88926776 91326272 93701368 114438556 177853552 187402736 228877112 355707104 374805472 457754224 711414208 749610944 915508448 1745187979 1831016896 3490375958 6980751916 13961503832 27923007664 55846015328 111692030656