Search a number
-
+
116221457664 = 2833131293419
BaseRepresentation
bin110110000111101010…
…1101011010100000000
3102002222200011202212000
41230033111223110000
53401010143121124
6125220313104000
711253035042664
oct1541725532400
9362880152760
10116221457664
114531aa8a364
121a6363b8000
13ac624239c0
1458a759c8a4
1530533c76c9
hex1b0f56b500

116221457664 has 144 divisors (see below), whose sum is σ = 370125067200. Its totient is φ = 35760420864.

The previous prime is 116221457663. The next prime is 116221457687. The reversal of 116221457664 is 466754122611.

116221457664 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 2 + 14 + 576 + 64 = 666.

116221457664 is digitally balanced in base 7, 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 (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116221457663) by changing a digit.

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, 556854 + ... + 736565.

Almost surely, 2116221457664 is an apocalyptic number.

It is an amenable number.

116221457664 is an abundant number, since it is smaller than the sum of its proper divisors (253903609536).

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

116221457664 is a wasteful number, since it uses less digits than its factorization.

116221457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293457 (or 1293437 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 116221457664 in words is "one hundred sixteen billion, two hundred twenty-one million, four hundred fifty-seven thousand, six hundred sixty-four".

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 1293419 2586838 3880257 5173676 7760514 10347352 11640771 15521028 16814447 20694704 23281542 31042056 33628894 34922313 41389408 46563084 50443341 62084112 67257788 69844626 82778816 93126168 100886682 124168224 134515576 139689252 151330023 165557632 186252336 201773364 248336448 269031152 279378504 302660046 331115264 372504672 403546728 453990069 496672896 538062304 558757008 605320092 745009344 807093456 907980138 993345792 1076124608 1117514016 1210640184 1490018688 1614186912 1815960276 2152249216 2235028032 2421280368 2980037376 3228373824 3631920552 4304498432 4470056064 4842560736 6456747648 7263841104 8940112128 9685121472 12913495296 14527682208 19370242944 29055364416 38740485888 58110728832 116221457664