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42774948132 = 22371137575953
BaseRepresentation
bin100111110101100101…
…011110100100100100
311002102001121111201020
4213311211132210210
51200100341320012
631352303331140
73043001026410
oct476545364444
9132361544636
1042774948132
1117160385704
1283592b0ab0
134058c4aac7
1420dad4dd40
1511a5423a8c
hex9f595e924

42774948132 has 96 divisors (see below), whose sum is σ = 115247338752. Its totient is φ = 12095225856.

The previous prime is 42774948107. The next prime is 42774948133. The reversal of 42774948132 is 23184947724.

It is not an unprimeable number, because it can be changed into a prime (42774948133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7182468 + ... + 7188420.

It is an arithmetic number, because the mean of its divisors is an integer number (1200493112).

Almost surely, 242774948132 is an apocalyptic number.

42774948132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42774948132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57623669376).

42774948132 is an abundant number, since it is smaller than the sum of its proper divisors (72472390620).

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

42774948132 is a wasteful number, since it uses less digits than its factorization.

42774948132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6835 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 42774948132 in words is "forty-two billion, seven hundred seventy-four million, nine hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 757 791 1356 1514 1582 2271 2373 3028 3164 4542 4746 5299 5953 9084 9492 10598 11906 15897 17859 21196 23812 31794 35718 41671 63588 71436 83342 85541 125013 166684 171082 250026 256623 342164 500052 513246 598787 672689 1026492 1197574 1345378 1796361 2018067 2395148 2690756 3592722 4036134 4506421 4708823 7185444 8072268 9012842 9417646 13519263 14126469 18025684 18835292 27038526 28252938 31544947 54077052 56505876 63089894 94634841 126179788 189269682 378539364 509225573 1018451146 1527676719 2036902292 3055353438 3564579011 6110706876 7129158022 10693737033 14258316044 21387474066 42774948132