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37314114216 = 23323499135467
BaseRepresentation
bin100010110000000110…
…000011001010101000
310120022111002101212020
4202300012003022220
51102404403123331
625050350544440
72460451511001
oct426006031250
9116274071766
1037314114216
1114908932325
127294508120
13369879b232
141b3d9b01a8
15e85cddc96
hex8b01832a8

37314114216 has 64 divisors (see below), whose sum is σ = 97536960000. Its totient is φ = 11873323968.

The previous prime is 37314114199. The next prime is 37314114217. The reversal of 37314114216 is 61241141373.

It is not an unprimeable number, because it can be changed into a prime (37314114217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207715 + ... + 343181.

It is an arithmetic number, because the mean of its divisors is an integer number (1524015000).

Almost surely, 237314114216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37314114216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48768480000).

37314114216 is an abundant number, since it is smaller than the sum of its proper divisors (60222845784).

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

37314114216 is a wasteful number, since it uses less digits than its factorization.

37314114216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135998 (or 135994 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

Adding to 37314114216 its reverse (61241141373), we get a palindrome (98555255589).

The spelling of 37314114216 in words is "thirty-seven billion, three hundred fourteen million, one hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 499 552 998 1497 1996 2994 3992 5988 11477 11976 22954 34431 45908 68862 91816 135467 137724 270934 275448 406401 541868 812802 1083736 1625604 3115741 3251208 6231482 9347223 12462964 18694446 24925928 37388892 67598033 74777784 135196066 202794099 270392132 405588198 540784264 811176396 1554754759 1622352792 3109509518 4664264277 6219019036 9328528554 12438038072 18657057108 37314114216