Search a number
-
+
10951830474 = 231317311571697
BaseRepresentation
bin10100011001100011…
…11010101111001010
31001021020210122001220
422030301322233022
5134412132033344
65010423422510
7535253010624
oct121461725712
931236718056
1010951830474
114710028372
1221578b4a36
131056c60480
1475c731c14
15441726c19
hex28cc7abca

10951830474 has 128 divisors (see below), whose sum is σ = 25961306112. Its totient is φ = 3047915520.

The previous prime is 10951830467. The next prime is 10951830509. The reversal of 10951830474 is 47403815901.

It is a happy number.

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, 6452794 + ... + 6454490.

It is an arithmetic number, because the mean of its divisors is an integer number (202822704).

Almost surely, 210951830474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10951830474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12980653056).

10951830474 is an abundant number, since it is smaller than the sum of its proper divisors (15009475638).

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

10951830474 is a wasteful number, since it uses less digits than its factorization.

10951830474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10951830474 in words is "ten billion, nine hundred fifty-one million, eight hundred thirty thousand, four hundred seventy-four".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 157 186 221 314 403 442 471 527 663 806 942 1054 1209 1326 1581 1697 2041 2418 2669 3162 3394 4082 4867 5091 5338 6123 6851 8007 9734 10182 12246 13702 14601 16014 20553 22061 28849 29202 34697 41106 44122 52607 57698 63271 66183 69394 82739 86547 104091 105214 126542 132366 157821 165478 173094 189813 208182 248217 266429 315642 375037 379626 496434 532858 683891 750074 799287 894319 1075607 1125111 1367782 1598574 1788638 2051673 2151214 2250222 2682957 3226821 3463577 4103346 4529293 5365914 6453642 6927154 8259299 9058586 10390731 11626147 13587879 16518598 20781462 23252294 24777897 27175758 34878441 49555794 58880809 69756882 107370887 117761618 140408083 176642427 214741774 280816166 322112661 353284854 421224249 644225322 842448498 1825305079 3650610158 5475915237 10951830474