Search a number
-
+
81026410374 = 2357131832099
BaseRepresentation
bin100101101110110001…
…1001110011110000110
321202010212111010100000
41023131203032132012
52311420230112444
6101120101102130
75565624060450
oct1133543163606
9252125433300
1081026410374
11313aa329418
12138536b7946
13784398b130
143cc91dd2d0
15219366a469
hex12dd8ce786

81026410374 has 96 divisors (see below), whose sum is σ = 224073158400. Its totient is φ = 21369591072.

The previous prime is 81026410307. The next prime is 81026410393. The reversal of 81026410374 is 47301462018.

81026410374 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 641 + 0 + 3 + 7 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871824 + ... + 960275.

It is an arithmetic number, because the mean of its divisors is an integer number (2334095400).

Almost surely, 281026410374 is an apocalyptic number.

81026410374 is an abundant number, since it is smaller than the sum of its proper divisors (143046748026).

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

81026410374 is a wasteful number, since it uses less digits than its factorization.

81026410374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832136 (or 1832124 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 81026410374 in words is "eighty-one billion, twenty-six million, four hundred ten thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 819 1053 1134 1638 1701 2106 2457 3159 3402 4914 6318 7371 14742 22113 44226 1832099 3664198 5496297 10992594 12824693 16488891 23817287 25649386 32977782 38474079 47634574 49466673 71451861 76948158 98933346 115422237 142903722 148400019 166721009 214355583 230844474 296800038 333442018 346266711 428711166 445200057 500163027 643066749 692533422 890400114 1000326054 1038800133 1286133498 1500489081 1929200247 2077600266 3000978162 3116400399 3858400494 4501467243 5787600741 6232800798 9002934486 11575201482 13504401729 27008803458 40513205187 81026410374