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137471868846 = 2341367974273
BaseRepresentation
bin1000000000000111110…
…1100011111110101110
3111010211122120111210000
42000001331203332232
54223020244300341
6143053111125130
712634452414354
oct2000175437656
9433748514700
10137471868846
1153335316854
12227870737a6
13cc6ab933c0
1469219777d4
153898cda8b6
hex2001f63fae

137471868846 has 80 divisors (see below), whose sum is σ = 336685711824. Its totient is φ = 41667664896.

The previous prime is 137471868841. The next prime is 137471868869. The reversal of 137471868846 is 648868174731.

137471868846 is a `hidden beast` number, since 1 + 3 + 7 + 471 + 86 + 8 + 84 + 6 = 666.

137471868846 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-3 number, since 3×1374718688463 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137471868841) 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 39 ways as a sum of consecutive naturals, for example, 346035 + ... + 628238.

Almost surely, 2137471868846 is an apocalyptic number.

137471868846 is an abundant number, since it is smaller than the sum of its proper divisors (199213842978).

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

137471868846 is a wasteful number, since it uses less digits than its factorization.

137471868846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974367 (or 974358 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 137471868846 in words is "one hundred thirty-seven billion, four hundred seventy-one million, eight hundred sixty-eight thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 81 117 134 162 201 234 351 402 603 702 871 1053 1206 1742 1809 2106 2613 3618 5226 5427 7839 10854 15678 23517 47034 70551 141102 974273 1948546 2922819 5845638 8768457 12665549 17536914 25331098 26305371 37996647 52610742 65276291 75993294 78916113 113989941 130552582 157832226 195828873 227979882 341969823 391657746 587486619 683939646 848591783 1025909469 1174973238 1697183566 1762459857 2051818938 2545775349 3524919714 5091550698 5287379571 7637326047 10574759142 15274652094 22911978141 45823956282 68735934423 137471868846