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234316805678676 = 223273155275426899
BaseRepresentation
bin110101010001110000100001…
…111101111010011001010100
31010201122110122001210110220100
4311101300201331322121110
5221203021304223204201
62150203353211534100
7100232554610610330
oct6521604175723124
91121573561713810
10234316805678676
116872a2211a7406
122234420015a330
13a098c97c9c206
1441c0dcb3ca7c0
151c151b7ac2886
hexd51c21f7a654

234316805678676 has 144 divisors (see below), whose sum is σ = 698877744947200. Its totient is φ = 64776322831680.

The previous prime is 234316805678633. The next prime is 234316805678713. The reversal of 234316805678676 is 676876508613432.

234316805678676 is a `hidden beast` number, since 2 + 3 + 43 + 16 + 8 + 0 + 567 + 8 + 6 + 7 + 6 = 666.

234316805678676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2343168056786762 (a number of 30 digits) contains 22 as substring.

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, 40463475 + ... + 45890373.

Almost surely, 2234316805678676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234316805678676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349438872473600).

234316805678676 is an abundant number, since it is smaller than the sum of its proper divisors (464560939268524).

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

234316805678676 is a wasteful number, since it uses less digits than its factorization.

234316805678676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432474 (or 5432469 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 234316805678676 in words is "two hundred thirty-four trillion, three hundred sixteen billion, eight hundred five million, six hundred seventy-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 5527 7812 11054 16581 22108 33162 38689 49743 66324 77378 99486 116067 154756 171337 198972 232134 342674 348201 464268 514011 685348 696402 1028022 1199359 1392804 1542033 2056044 2398718 3084066 3598077 4797436 5426899 6168132 7196154 10794231 10853798 14392308 16280697 21588462 21707596 32561394 37988293 43176924 48842091 65122788 75976586 97684182 113964879 151953172 168233869 195368364 227929758 336467738 341894637 455859516 504701607 672935476 683789274 1009403214 1177637083 1367578548 1514104821 2018806428 2355274166 3028209642 3532911249 4710548332 6056419284 7065822498 10598733747 14131644996 21197467494 29994470773 42394934988 59988941546 89983412319 119977883092 179966824638 209961295411 269950236957 359933649276 419922590822 539900473914 629883886233 839845181644 929828593963 1079800947828 1259767772466 1859657187926 1889651658699 2519535544932 2789485781889 3719314375852 3779303317398 5578971563778 6508800157741 7558606634796 8368457345667 11157943127556 13017600315482 16736914691334 19526400473223 26035200630964 33473829382668 39052800946446 58579201419669 78105601892892 117158402839338 234316805678676