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39316696146 = 23272133428981
BaseRepresentation
bin100100100111011101…
…010010110001010010
310202111001022002211100
4210213131102301102
51121010033234041
630021205125230
72561206255200
oct444735226122
9122431262740
1039316696146
1115746282812
1277530b9816
13392763a860
141c8d93c070
151051a116b6
hex927752c52

39316696146 has 72 divisors (see below), whose sum is σ = 106716777804. Its totient is φ = 10369235520.

The previous prime is 39316696141. The next prime is 39316696171. The reversal of 39316696146 is 64169661393.

39316696146 is a `hidden beast` number, since 3 + 9 + 3 + 16 + 6 + 9 + 614 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39307424121 + 9272025 = 198261^2 + 3045^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39316696092 and 39316696101.

It is not an unprimeable number, because it can be changed into a prime (39316696141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1703025 + ... + 1725956.

Almost surely, 239316696146 is an apocalyptic number.

39316696146 is an abundant number, since it is smaller than the sum of its proper divisors (67400081658).

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

39316696146 is a wasteful number, since it uses less digits than its factorization.

39316696146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429016 (or 3429006 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 39316696146 in words is "thirty-nine billion, three hundred sixteen million, six hundred ninety-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466 3428981 6857962 10286943 20573886 24002867 30860829 44576753 48005734 61721658 72008601 89153506 133730259 144017202 168020069 216025803 267460518 312037271 336040138 401190777 432051606 504060207 624074542 802381554 936111813 1008120414 1512180621 1872223626 2184260897 2808335439 3024361242 4368521794 5616670878 6552782691 13105565382 19658348073 39316696146