Search a number
-
+
3064612341966 = 2372922354720627
BaseRepresentation
bin101100100110001001001…
…000010100100011001110
3101211222022002210022220120
4230212021020110203032
5400202311224420331
610303510302125410
7434260644046650
oct54461110244316
911758262708816
103064612341966
11a817708555aa
12415b38580866
13192cb7a08c06
14a848417a6d0
1554ab6d76796
hex2c9892148ce

3064612341966 has 128 divisors (see below), whose sum is σ = 7292529377280. Its totient is φ = 840039887232.

The previous prime is 3064612341907. The next prime is 3064612341997. The reversal of 3064612341966 is 6691432164603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148562545 + ... + 148583171.

It is an arithmetic number, because the mean of its divisors is an integer number (56972885760).

Almost surely, 23064612341966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3064612341966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646264688640).

3064612341966 is an abundant number, since it is smaller than the sum of its proper divisors (4227917035314).

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

3064612341966 is a wasteful number, since it uses less digits than its factorization.

3064612341966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21438.

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 3064612341966 in words is "three trillion, sixty-four billion, six hundred twelve million, three hundred forty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 223 406 446 547 609 669 1094 1218 1338 1561 1641 3122 3282 3829 4683 6467 7658 9366 11487 12934 15863 19401 20627 22974 31726 38802 41254 45269 47589 61881 90538 95178 111041 121981 123762 135807 144389 222082 243962 271614 288778 333123 365943 433167 598183 666246 731886 853867 866334 1196366 1707734 1794549 2561601 3537449 3589098 4187281 4599821 5123202 7074898 8374562 9199642 10612347 11282969 12561843 13799463 21224694 22565938 24762143 25123686 27598926 32198747 33848907 49524286 64397494 67697814 74286429 78980783 96596241 133394809 148572858 157961566 193192482 236942349 266789618 327206101 400184427 473884698 654412202 800368854 933763663 981618303 1867527326 1963236606 2290442707 2516102087 2801290989 4580885414 5032204174 5602581978 6871328121 7548306261 13742656242 15096612522 17612714609 35225429218 52838143827 72966960523 105676287654 145933921046 218900881569 437801763138 510768723661 1021537447322 1532306170983 3064612341966