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9779422842 = 233729114057
BaseRepresentation
bin10010001101110011…
…00010011001111010
3221020112201011011000
421012321202121322
5130012013012332
64254222545430
7464225502600
oct110671423172
927215634130
109779422842
114169258142
121a8b138276
13bcb0aa147
1468ab45870
153c383bb7c
hex246e6267a

9779422842 has 96 divisors (see below), whose sum is σ = 25314128640. Its totient is φ = 2790365760.

The previous prime is 9779422841. The next prime is 9779422901. The reversal of 9779422842 is 2482249779.

It is a happy number.

9779422842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×97794228422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9779422841) by changing a digit.

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, 2408478 + ... + 2412534.

It is an arithmetic number, because the mean of its divisors is an integer number (263688840).

Almost surely, 29779422842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9779422842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657064320).

9779422842 is an abundant number, since it is smaller than the sum of its proper divisors (15534705798).

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

9779422842 is a wasteful number, since it uses less digits than its factorization.

9779422842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4980 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 9779422842 is about 98890.9644103039. The cubic root of 9779422842 is about 2138.4761359989.

The spelling of 9779422842 in words is "nine billion, seven hundred seventy-nine million, four hundred twenty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 911 1323 1822 2646 2733 4057 5466 6377 8114 8199 12171 12754 16398 19131 24342 24597 28399 36513 38262 44639 49194 56798 57393 73026 85197 89278 109539 114786 133917 170394 172179 198793 219078 255591 267834 344358 397586 401751 511182 596379 766773 803502 1192758 1205253 1533546 1789137 2410506 3578274 3695927 5367411 7391854 10734822 11087781 22175562 25871489 33263343 51742978 66526686 77614467 99790029 155228934 181100423 199580058 232843401 362200846 465686802 543301269 698530203 1086602538 1397060406 1629903807 3259807614 4889711421 9779422842