Search a number
-
+
42630655696662 = 23116114097515143
BaseRepresentation
bin10011011000101101110010…
…00101101101111100010110
312120221110011200201122212110
421230112321011231330112
521041430040324243122
6230400130341331450
711656651250366535
oct1154267105557426
9176843150648773
1042630655696662
1112646617842050
124946134406b86
131aa309094b2c7
14a7549877c31c
154dddc401190c
hex26c5b916df16

42630655696662 has 64 divisors (see below), whose sum is σ = 94604239941120. Its totient is φ = 12697583923200.

The previous prime is 42630655696627. The next prime is 42630655696679. The reversal of 42630655696662 is 26669655603624.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 42630655696593 and 42630655696602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1915063 + ... + 9430205.

It is an arithmetic number, because the mean of its divisors is an integer number (1478191249080).

Almost surely, 242630655696662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42630655696662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47302119970560).

42630655696662 is an abundant number, since it is smaller than the sum of its proper divisors (51973584244458).

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

42630655696662 is a wasteful number, since it uses less digits than its factorization.

42630655696662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516629.

The product of its (nonzero) digits is 503884800, while the sum is 66.

The spelling of 42630655696662 in words is "forty-two trillion, six hundred thirty billion, six hundred fifty-five million, six hundred ninety-six thousand, six hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 1342 1409 2013 2818 4026 4227 8454 15499 30998 46497 85949 92994 171898 257847 515694 945439 1890878 2836317 5672634 7515143 15030286 22545429 45090858 82666573 165333146 247999719 458423723 495999438 916847446 1375271169 2750542338 5042660953 10085321906 10588836487 15127982859 21177672974 30255965718 31766509461 63533018922 116477201357 232954402714 349431604071 645919025707 698863208142 1291838051414 1937757077121 3875514154242 7105109282777 14210218565554 21315327848331 42630655696662