Search a number
-
+
8957970435975 = 3521129547168437
BaseRepresentation
bin1000001001011011000010…
…1001010100111110000111
31011201101002100202202101220
42002112300221110332013
52133231410412422400
631015122415051423
71613122600241211
oct202266051247607
934641070682356
108957970435975
112944065860650
121008146210b73
134cc96b4b1692
1422d7d4b655b1
1510803d9427a0
hex825b0a54f87

8957970435975 has 96 divisors (see below), whose sum is σ = 16717355735040. Its totient is φ = 4192663104000.

The previous prime is 8957970435943. The next prime is 8957970436001. The reversal of 8957970435975 is 5795340797598.

It is not a de Polignac number, because 8957970435975 - 25 = 8957970435943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8957970435975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130859457 + ... + 130927893.

It is an arithmetic number, because the mean of its divisors is an integer number (174139122240).

Almost surely, 28957970435975 is an apocalyptic number.

8957970435975 is a deficient number, since it is larger than the sum of its proper divisors (7759385299065).

8957970435975 is a wasteful number, since it uses less digits than its factorization.

8957970435975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73961 (or 73956 counting only the distinct ones).

The product of its (nonzero) digits is 3000564000, while the sum is 78.

It can be divided in two parts, 8957970 and 435975, that added together give a triangular number (9393945 = T4334).

The spelling of 8957970435975 in words is "eight trillion, nine hundred fifty-seven billion, nine hundred seventy million, four hundred thirty-five thousand, nine hundred seventy-five".

Divisors: 1 3 5 11 15 25 29 33 55 75 87 145 165 275 319 435 725 825 957 1595 2175 4785 5471 7975 16413 23925 27355 60181 68437 82065 136775 158659 180543 205311 300905 342185 410325 475977 752807 793295 902715 1026555 1504525 1710925 1745249 1984673 2258421 2379885 3764035 3966475 4513575 5132775 5235747 5954019 8726245 9923365 11292105 11899425 18820175 21831403 26178735 29770095 43631225 49616825 56460525 65494209 109157015 130893675 148850475 327471045 374418827 545785075 1123256481 1637355225 1872094135 4118607097 5616282405 9360470675 10858145983 12355821291 20593035485 28081412025 32574437949 54290729915 61779106455 102965177425 119439605813 162872189745 271453649575 308895532275 358318817439 597198029065 814360948725 1791594087195 2985990145325 8957970435975