Search a number
-
+
2257981631906 = 2721113433747053
BaseRepresentation
bin100000110110111010001…
…100010110110110100010
321222212020121210121200212
4200312322030112312202
5243443321244210111
64445145154414122
7322063614123500
oct40667214266642
97885217717625
102257981631906
117a0671847240
12305741591342
13134c08104980
147b403347670
153db068b498b
hex20dba316da2

2257981631906 has 96 divisors (see below), whose sum is σ = 4736396161728. Its totient is φ = 793175967360.

The previous prime is 2257981631897. The next prime is 2257981631909. The reversal of 2257981631906 is 6091361897522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2257981631909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1270925 + ... + 2476128.

It is an arithmetic number, because the mean of its divisors is an integer number (49337460018).

Almost surely, 22257981631906 is an apocalyptic number.

2257981631906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2257981631906 is an abundant number, since it is smaller than the sum of its proper divisors (2478414529822).

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

2257981631906 is a wasteful number, since it uses less digits than its factorization.

2257981631906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747136 (or 3747129 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 59.

The spelling of 2257981631906 in words is "two trillion, two hundred fifty-seven billion, nine hundred eighty-one million, six hundred thirty-one thousand, nine hundred six".

Divisors: 1 2 7 11 13 14 22 26 43 49 77 86 91 98 143 154 182 286 301 473 539 559 602 637 946 1001 1078 1118 1274 2002 2107 3311 3913 4214 6149 6622 7007 7826 12298 14014 23177 27391 43043 46354 54782 86086 301301 602602 3747053 7494106 26229371 41217583 48711689 52458742 82435166 97423378 161123279 183605597 288523081 322246558 340981823 367211194 535828579 577046162 681963646 1071657158 1127862953 1772356069 2019661567 2094602627 2255725906 2386872761 3544712138 3750800053 4039323134 4189205254 4773745522 7501600106 7895040671 12406492483 14662218389 15790081342 23040628897 24812984966 26255600371 29324436778 46081257794 52511200742 86845447381 102635528723 161284402279 173690894762 205271057446 322568804558 1128990815953 2257981631906