Search a number
-
+
115422374268729 = 32114789301192567
BaseRepresentation
bin11010001111100111011101…
…100111100000111100111001
3120010200021022201100220011200
4122033213131213200330321
5110112040010303044404
61045252150130444413
733211664014364133
oct3217473547407471
9503607281326150
10115422374268729
1133860399246330
1210b41767733709
134c5338b228308
142070689214053
15d52602c3a839
hex68f9dd9e0f39

115422374268729 has 96 divisors (see below), whose sum is σ = 187898880798720. Its totient is φ = 67672114540800.

The previous prime is 115422374268659. The next prime is 115422374268763. The reversal of 115422374268729 is 927862473224511.

115422374268729 is a `hidden beast` number, since 1 + 1 + 542 + 2 + 3 + 7 + 4 + 2 + 6 + 87 + 2 + 9 = 666.

It is not a de Polignac number, because 115422374268729 - 27 = 115422374268601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115422374268769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1246860004 + ... + 1246952570.

It is an arithmetic number, because the mean of its divisors is an integer number (1957280008320).

Almost surely, 2115422374268729 is an apocalyptic number.

It is an amenable number.

115422374268729 is a deficient number, since it is larger than the sum of its proper divisors (72476506529991).

115422374268729 is a wasteful number, since it uses less digits than its factorization.

115422374268729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95731 (or 95728 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 115422374268729 in words is "one hundred fifteen trillion, four hundred twenty-two billion, three hundred seventy-four million, two hundred sixty-eight thousand, seven hundred twenty-nine".

Divisors: 1 3 9 11 33 47 89 99 141 267 423 517 801 979 1551 2937 3011 4183 4653 8811 9033 12549 27099 33121 37647 46013 92567 99363 138039 141517 267979 277701 298089 414117 424551 803937 833103 1018237 1273653 1556687 2411811 2947769 3054711 4350649 4670061 8238463 8843307 9164133 12595013 13051947 14010183 24715389 26529921 37785039 39155841 47857139 74146167 90623093 113355117 138545143 143571417 271869279 278719237 387207761 415635429 430714251 815607837 836157711 1161623283 1246906287 2508473133 3065911607 3484869849 4259285371 9197734821 12777856113 13099804139 24806012093 27593204463 38333568339 39299412417 74418036279 117898237251 144097845529 223254108837 272866133023 432293536587 818598399069 1165882568371 1296880609761 2455795197207 3497647705113 10492943115339 12824708252081 38474124756243 115422374268729