Search a number
-
+
42225086574 = 232111726112097
BaseRepresentation
bin100111010100110011…
…111011000001101110
311000222201221122110100
4213110303323001232
51142434110232244
631221542051530
73023243212446
oct472463730156
9130881848410
1042225086574
11169a8a62570
128225119ba6
133c9c058638
142087cd9126
15117200bb69
hex9d4cfb06e

42225086574 has 144 divisors (see below), whose sum is σ = 107767919376. Its totient is φ = 11844403200.

The previous prime is 42225086569. The next prime is 42225086623. The reversal of 42225086574 is 47568052224.

42225086574 is a `hidden beast` number, since 4 + 2 + 22 + 50 + 8 + 6 + 574 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3484494 + ... + 3496590.

It is an arithmetic number, because the mean of its divisors is an integer number (748388329).

Almost surely, 242225086574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42225086574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53883959688).

42225086574 is an abundant number, since it is smaller than the sum of its proper divisors (65542832802).

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

42225086574 is a wasteful number, since it uses less digits than its factorization.

42225086574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12211 (or 12191 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 42225086574 in words is "forty-two billion, two hundred twenty-five million, eighty-six thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 61 66 99 102 122 153 183 187 198 289 306 366 374 549 561 578 671 867 1037 1098 1122 1342 1683 1734 2013 2074 2601 3111 3179 3366 4026 5202 6039 6222 6358 9333 9537 11407 12078 12097 17629 18666 19074 22814 24194 28611 34221 35258 36291 52887 57222 68442 72582 102663 105774 108873 133067 158661 193919 205326 205649 217746 266134 317322 387838 399201 411298 581757 616947 737917 798402 1163514 1197603 1233894 1475834 1745271 1850841 2213751 2262139 2395206 3490542 3496033 3701682 4427502 4524278 6641253 6786417 6992066 8117087 10488099 12544589 13282506 13572834 16234174 20359251 20976198 24351261 25089178 31464297 37633767 38456363 40718502 48702522 62928594 73053783 75267534 76912726 112901301 115369089 137990479 146107566 213258013 225802602 230738178 275980958 346107267 413971437 426516026 639774039 692214534 827942874 1241914311 1279548078 1919322117 2345838143 2483828622 3838644234 4691676286 7037514429 14075028858 21112543287 42225086574