Search a number
-
+
958019263422 = 231334316310369
BaseRepresentation
bin11011111000011100110…
…01011101101110111110
310101120211000021001012120
431330032121131232332
5111144010412412142
62012035153343410
7126133416244014
oct15741631355676
93346730231176
10958019263422
1133a325998181
12135806867b66
136c457a55000
1434522b968b4
1519dc0e247ec
hexdf0e65dbbe

958019263422 has 128 divisors (see below), whose sum is σ = 2137142515200. Its totient is φ = 286125944832.

The previous prime is 958019263403. The next prime is 958019263429. The reversal of 958019263422 is 224362910859.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (958019263429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92387454 + ... + 92397822.

It is an arithmetic number, because the mean of its divisors is an integer number (16696425900).

Almost surely, 2958019263422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 958019263422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068571257600).

958019263422 is an abundant number, since it is smaller than the sum of its proper divisors (1179123251778).

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

958019263422 is a wasteful number, since it uses less digits than its factorization.

958019263422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10619 (or 10593 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 958019263422 in words is "nine hundred fifty-eight billion, nineteen million, two hundred sixty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 163 169 258 326 338 489 507 559 978 1014 1118 1677 2119 2197 3354 4238 4394 6357 6591 7009 7267 10369 12714 13182 14018 14534 20738 21027 21801 27547 31107 42054 43602 55094 62214 82641 91117 94471 134797 165282 182234 188942 269594 273351 283413 358111 404391 445867 546702 566826 716222 808782 891734 1074333 1184521 1337601 1690147 1752361 2148666 2369042 2675202 3380294 3504722 3553563 5070441 5257083 5796271 7107126 10140882 10514166 11592542 15398773 17388813 21971911 22780693 30797546 34777626 43943822 45561386 46196319 65915733 68342079 72676321 75351523 92392638 131831466 136684158 145352642 150703046 218028963 226054569 285634843 436057926 452109138 571269686 856904529 944792173 979569799 1713809058 1889584346 1959139598 2834376519 2938709397 3713252959 5668753038 5877418794 7426505918 11139758877 12282298249 22279517754 24564596498 36846894747 73693789494 159669877237 319339754474 479009631711 958019263422