Search a number
-
+
6138336108348 = 22321936912431367
BaseRepresentation
bin101100101010011000101…
…0101111101111100111100
3210201211010012022222101200
41121110301111331330330
51301032303020431343
621015525045535500
71202323456014333
oct131246125757474
923654105288350
106138336108348
111a57287786124
12831798414590
13356ac52a8902
14173150454d1a
15a9a13a894d3
hex5953157df3c

6138336108348 has 72 divisors (see below), whose sum is σ = 16337431393920. Its totient is φ = 1937895956640.

The previous prime is 6138336108257. The next prime is 6138336108349. The reversal of 6138336108348 is 8438016338316.

6138336108348 is a `hidden beast` number, since 6 + 13 + 8 + 3 + 3 + 610 + 8 + 3 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6138336108294 and 6138336108303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138336108349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308961 + ... + 3740327.

It is an arithmetic number, because the mean of its divisors is an integer number (226908769360).

Almost surely, 26138336108348 is an apocalyptic number.

It is an amenable number.

6138336108348 is an abundant number, since it is smaller than the sum of its proper divisors (10199095285572).

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

6138336108348 is a wasteful number, since it uses less digits than its factorization.

6138336108348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435087 (or 2435082 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 6138336108348 in words is "six trillion, one hundred thirty-eight billion, three hundred thirty-six million, one hundred eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 3691 7382 11073 14764 22146 33219 44292 66438 70129 132876 140258 210387 280516 420774 631161 841548 1262322 2431367 2524644 4862734 7294101 9725468 14588202 21882303 29176404 43764606 46195973 87529212 92391946 138587919 184783892 277175838 415763757 554351676 831527514 1663055028 8974175597 17948351194 26922526791 35896702388 53845053582 80767580373 107690107164 161535160746 170509336343 323070321492 341018672686 511528009029 682037345372 1023056018058 1534584027087 2046112036116 3069168054174 6138336108348