Search a number
-
+
116421266052 = 2232713239148693
BaseRepresentation
bin110110001101100111…
…1111000101010000100
3102010111121011002102200
41230123033320222010
53401412321003202
6125252211434500
711261012301510
oct1543317705204
9363447132380
10116421266052
1145412851363
121a6912b5a30
13ac94941a10
1458c5d31140
153065be4e1c
hex1b1b3f8a84

116421266052 has 144 divisors (see below), whose sum is σ = 363717419520. Its totient is φ = 30575833344.

The previous prime is 116421266021. The next prime is 116421266099. The reversal of 116421266052 is 250662124611.

116421266052 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 21 + 26 + 605 + 2 = 666.

It is a super-2 number, since 2×1164212660522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116421265998 and 116421266016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708618 + ... + 857310.

Almost surely, 2116421266052 is an apocalyptic number.

116421266052 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 116421266052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181858709760).

116421266052 is an abundant number, since it is smaller than the sum of its proper divisors (247296153468).

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

116421266052 is a wasteful number, since it uses less digits than its factorization.

116421266052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148962 (or 148957 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 116421266052 in words is "one hundred sixteen billion, four hundred twenty-one million, two hundred sixty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 239 252 273 364 468 478 546 717 819 956 1092 1434 1638 1673 2151 2868 3107 3276 3346 4302 5019 6214 6692 8604 9321 10038 12428 15057 18642 20076 21749 27963 30114 37284 43498 55926 60228 65247 86996 111852 130494 148693 195741 260988 297386 391482 446079 594772 782964 892158 1040851 1338237 1784316 1933009 2081702 2676474 3122553 3866018 4163404 5352948 5799027 6245106 7732036 9367659 11598054 12490212 13531063 17397081 18735318 23196108 27062126 34794162 35537627 37470636 40593189 54124252 69588324 71075254 81186378 106612881 121779567 142150508 162372756 213225762 243559134 248763389 319838643 426451524 461989151 487118268 497526778 639677286 746290167 923978302 995053556 1279354572 1385967453 1492580334 1847956604 2238870501 2771934906 2985160668 3233924057 4157902359 4477741002 5543869812 6467848114 8315804718 8955482004 9701772171 12935696228 16631609436 19403544342 29105316513 38807088684 58210633026 116421266052