Search a number
-
+
2246546442042 = 232743992941761
BaseRepresentation
bin100000101100010000100…
…110100100011100111010
321221202201200110210012100
4200230100212210130322
5243301411342121132
64440014342524230
7321210341453520
oct40542046443472
97852650423170
102246546442042
11796833998901
1230348ba36676
13133b04c97736
147aa3a752310
153d687a1037c
hex20b109a473a

2246546442042 has 96 divisors (see below), whose sum is σ = 5692955748480. Its totient is φ = 626865039360.

The previous prime is 2246546441987. The next prime is 2246546442193. The reversal of 2246546442042 is 2402446456422.

It is a happy number.

2246546442042 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 546 + 44 + 20 + 42 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53774442 + ... + 53816202.

It is an arithmetic number, because the mean of its divisors is an integer number (59301622380).

Almost surely, 22246546442042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246546442042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846477874240).

2246546442042 is an abundant number, since it is smaller than the sum of its proper divisors (3446409306438).

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

2246546442042 is a wasteful number, since it uses less digits than its factorization.

2246546442042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51748 (or 51745 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 2246546442042 in words is "two trillion, two hundred forty-six billion, five hundred forty-six million, four hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 9929 19858 29787 41761 59574 69503 83522 89361 125283 139006 178722 208509 250566 292327 375849 417018 426947 584654 625527 751698 853894 876981 1251054 1280841 1753962 1795723 2561682 2630943 2988629 3591446 3842523 5261886 5387169 5977258 7685046 8965887 10774338 12570061 16161507 17931774 25140122 26897661 32323014 37710183 53795322 75420366 113130549 226261098 414644969 829289938 1243934907 2487869814 2902514783 3731804721 5805029566 7463609442 8707544349 17415088698 17829733667 26122633047 35659467334 52245266094 53489201001 106978402002 124808135669 160467603003 249616271338 320935206006 374424407007 748848814014 1123273221021 2246546442042