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40704848946 = 2335997131713
BaseRepresentation
bin100101111010001100…
…101011010000110010
310220001210100120111000
4211322030223100302
51131330420131241
630411034102430
72640463335666
oct457214532062
9126053316430
1040704848946
111629890a533
127a7bb7aa16
133ab90cba48
141d820488a6
1510d3815eb6
hex97a32b432

40704848946 has 64 divisors (see below), whose sum is σ = 92937398400. Its totient is φ = 13200703488.

The previous prime is 40704848939. The next prime is 40704848981. The reversal of 40704848946 is 64984840704.

40704848946 is a `hidden beast` number, since 4 + 0 + 70 + 484 + 8 + 94 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40704848892 and 40704848901.

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 31 ways as a sum of consecutive naturals, for example, 243186 + ... + 374898.

It is an arithmetic number, because the mean of its divisors is an integer number (1452146850).

Almost surely, 240704848946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40704848946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46468699200).

40704848946 is an abundant number, since it is smaller than the sum of its proper divisors (52232549454).

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

40704848946 is a wasteful number, since it uses less digits than its factorization.

40704848946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131880 (or 131874 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 40704848946 in words is "forty billion, seven hundred four million, eight hundred forty-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 59 97 118 177 194 291 354 531 582 873 1062 1593 1746 2619 3186 5238 5723 11446 17169 34338 51507 103014 131713 154521 263426 309042 395139 790278 1185417 2370834 3556251 7112502 7771067 12776161 15542134 23313201 25552322 38328483 46626402 69939603 76656966 114985449 139879206 209818809 229970898 344956347 419637618 689912694 753793499 1507586998 2261380497 4522760994 6784141491 13568282982 20352424473 40704848946