Search a number
-
+
3029175318072 = 233177993980371
BaseRepresentation
bin101100000101001000111…
…010110011011000111000
3101201120211102202222220010
4230011020322303120320
5344112222340134242
610235330043501520
7431564534240331
oct54051072633070
911646742688803
103029175318072
11a68736550aa2
1240b0a88278a0
1318c85b0ac917
14a68819cd288
1553be0c6c89c
hex2c148eb3638

3029175318072 has 64 divisors (see below), whose sum is σ = 8119904140800. Its totient is φ = 938300014080.

The previous prime is 3029175318053. The next prime is 3029175318079. The reversal of 3029175318072 is 2708135719203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029175318079) 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 15 ways as a sum of consecutive naturals, for example, 46957954 + ... + 47022417.

It is an arithmetic number, because the mean of its divisors is an integer number (126873502200).

Almost surely, 23029175318072 is an apocalyptic number.

It is an amenable number.

3029175318072 is an abundant number, since it is smaller than the sum of its proper divisors (5090728822728).

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

3029175318072 is a wasteful number, since it uses less digits than its factorization.

3029175318072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93980476 (or 93980472 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 3029175318072 in words is "three trillion, twenty-nine billion, one hundred seventy-five million, three hundred eighteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 474 632 948 1343 1896 2686 4029 5372 8058 10744 16116 32232 93980371 187960742 281941113 375921484 563882226 751842968 1127764452 1597666307 2255528904 3195332614 4792998921 6390665228 7424449309 9585997842 12781330456 14848898618 19171995684 22273347927 29697797236 38343991368 44546695854 59395594472 89093391708 126215638253 178186783416 252431276506 378646914759 504862553012 757293829518 1009725106024 1514587659036 3029175318072