Search a number
-
+
37470403341 = 32721727118443
BaseRepresentation
bin100010111001011010…
…001111101100001101
310120201101011201020100
4202321122033230031
51103214410401331
625114052441313
72464360113300
oct427132175415
9116641151210
1037470403341
111498907a698
127318919239
1336c1c8c8c7
141b56654b37
15e948b1ae6
hex8b968fb0d

37470403341 has 72 divisors (see below), whose sum is σ = 66913651584. Its totient is φ = 20076698880.

The previous prime is 37470403339. The next prime is 37470403349. The reversal of 37470403341 is 14330407473.

It is not a de Polignac number, because 37470403341 - 21 = 37470403339 is a prime.

It is a super-2 number, since 2×374704033412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37470403296 and 37470403305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37470403349) 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 71 ways as a sum of consecutive naturals, for example, 2022466 + ... + 2040908.

It is an arithmetic number, because the mean of its divisors is an integer number (929356272).

Almost surely, 237470403341 is an apocalyptic number.

It is an amenable number.

37470403341 is a deficient number, since it is larger than the sum of its proper divisors (29443248243).

37470403341 is a wasteful number, since it uses less digits than its factorization.

37470403341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18751 (or 18741 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 37470403341 in words is "thirty-seven billion, four hundred seventy million, four hundred three thousand, three hundred forty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 271 357 441 813 833 1071 1897 2439 2499 4607 5691 7497 13279 13821 17073 18443 32249 39837 41463 55329 96747 119511 129101 165987 225743 290241 313531 387303 677229 903707 940593 1161909 2031687 2194717 2711121 2821779 4998053 6584151 8133363 14994159 15363019 19752453 34986371 44982477 46089057 84966901 104959113 138267171 244904597 254900703 314877339 594768307 734713791 764702109 1784304921 2204141373 4163378149 5352914763 12490134447 37470403341