Search a number
-
+
476334320427834 = 231179832391746021
BaseRepresentation
bin110110001001110010011100…
…1111101101010001100111010
32022110120010010210021211202120
41230103210321331222030322
5444413230142012142314
64405024544344342110
7202222006336564461
oct15423447175521472
92273503123254676
10476334320427834
11128858283964910
1245510948174936
13175a31978ca7bb
14858a9c016d9d8
153a108373118a9
hex1b13939f6a33a

476334320427834 has 128 divisors (see below), whose sum is σ = 1065177820385280. Its totient is φ = 140790583814400.

The previous prime is 476334320427793. The next prime is 476334320427883. The reversal of 476334320427834 is 438724023433674.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10350345744 + ... + 10350391764.

It is an arithmetic number, because the mean of its divisors is an integer number (8321701721760).

Almost surely, 2476334320427834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476334320427834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532588910192640).

476334320427834 is an abundant number, since it is smaller than the sum of its proper divisors (588843499957446).

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

476334320427834 is a wasteful number, since it uses less digits than its factorization.

476334320427834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70116.

The product of its (nonzero) digits is 195084288, while the sum is 60.

The spelling of 476334320427834 in words is "four hundred seventy-six trillion, three hundred thirty-four billion, three hundred twenty million, four hundred twenty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 79 83 158 166 237 249 474 498 869 913 1738 1826 2607 2739 5214 5478 6557 13114 19671 23917 39342 46021 47834 71751 72127 92042 138063 143502 144254 216381 263087 276126 432762 506231 526174 789261 1012462 1518693 1578522 1889443 1985111 3037386 3635659 3778886 3819743 3970222 5668329 5955333 7271318 7639486 10906977 11336658 11459229 11910666 20783873 21813954 21836221 22918458 39992249 41567746 42017173 43672442 62351619 65508663 79984498 84034346 119976747 124703238 126051519 131017326 156823769 239953494 252103038 301759697 313647538 470471307 603519394 905279091 940942614 1100684257 1725061459 1810558182 2201368514 3302052771 3319356667 3450122918 5175184377 6604105542 6638713334 9958070001 10350368754 12107526827 19916140002 24215053654 36322580481 72645160962 86954056303 91356793331 173908112606 182713586662 260862168909 274070379993 521724337818 548140759986 956494619333 1004924726641 1912989238666 2009849453282 2869483857999 3014774179923 5738967715998 6029548359846 7217186673149 14434373346298 21651560019447 43303120038894 79389053404639 158778106809278 238167160213917 476334320427834