Search a number
-
+
2590686714 = 237112612137
BaseRepresentation
bin1001101001101010…
…1011110111111010
320200112211112001210
42122122223313322
520301203433324
61105023223550
7121125321330
oct23232536772
96615745053
102590686714
11110a414300
12603747bb6
13323961b25
141a80d9b50
15102690d29
hex9a6abdfa

2590686714 has 144 divisors (see below), whose sum is σ = 6665585472. Its totient is φ = 657043200.

The previous prime is 2590686677. The next prime is 2590686731. The reversal of 2590686714 is 4176860952.

It is a super-2 number, since 2×25906867142 = 13423315300192235592, which contains 22 as substring.

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, 18910054 + ... + 18910190.

It is an arithmetic number, because the mean of its divisors is an integer number (46288788).

Almost surely, 22590686714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590686714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332792736).

2590686714 is an abundant number, since it is smaller than the sum of its proper divisors (4074898758).

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

2590686714 is a wasteful number, since it uses less digits than its factorization.

2590686714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2590686714 is about 50898.7889246886. The cubic root of 2590686714 is about 1373.4250553914.

The spelling of 2590686714 in words is "two billion, five hundred ninety million, six hundred eighty-six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 61 66 77 121 122 137 154 183 231 242 274 363 366 411 427 462 671 726 822 847 854 959 1281 1342 1507 1694 1918 2013 2541 2562 2877 3014 3721 4026 4521 4697 5082 5754 7381 7442 8357 9042 9394 10549 11163 14091 14762 16577 16714 21098 22143 22326 25071 26047 28182 31647 33154 40931 44286 49731 50142 51667 52094 58499 63294 78141 81862 91927 99462 103334 116039 116998 122793 155001 156282 175497 183854 232078 245586 275781 286517 310002 348117 350994 450241 509777 551562 573034 643489 696234 859551 900482 1011197 1019554 1286978 1350723 1529331 1719102 1930467 2022394 2701446 3033591 3058662 3151687 3568439 3860934 5607547 6067182 6303374 7078379 7136878 9455061 10705317 11215094 14156758 16822641 18910122 21235137 21410634 33645282 39252829 42470274 61683017 78505658 117758487 123366034 185049051 235516974 370098102 431781119 863562238 1295343357 2590686714