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31869402640 = 2457910149927
BaseRepresentation
bin11101101011100100…
…000111111000010000
310001021000220101200221
4131223210013320100
51010232031341030
622350211522424
72205516311215
oct355344077020
9101230811627
1031869402640
11125744a0999
126214bb9414
13300b774aca
141784829b0c
15c67ce0e7a
hex76b907e10

31869402640 has 80 divisors (see below), whose sum is σ = 75778721280. Its totient is φ = 12461529600.

The previous prime is 31869402629. The next prime is 31869402641. The reversal of 31869402640 is 4620496813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (31869402641) 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 15 ways as a sum of consecutive naturals, for example, 613357 + ... + 663283.

It is an arithmetic number, because the mean of its divisors is an integer number (947234016).

Almost surely, 231869402640 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 31869402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37889360640).

31869402640 is an abundant number, since it is smaller than the sum of its proper divisors (43909318640).

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

31869402640 is a wasteful number, since it uses less digits than its factorization.

31869402640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50120 (or 50114 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 31869402640 in words is "thirty-one billion, eight hundred sixty-nine million, four hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 101 158 202 316 395 404 505 632 790 808 1010 1264 1580 1616 2020 3160 4040 6320 7979 8080 15958 31916 39895 49927 63832 79790 99854 127664 159580 199708 249635 319160 399416 499270 638320 798832 998540 1997080 3944233 3994160 5042627 7888466 10085254 15776932 19721165 20170508 25213135 31553864 39442330 40341016 50426270 63107728 78884660 80682032 100852540 157769320 201705080 315538640 398367533 403410160 796735066 1593470132 1991837665 3186940264 3983675330 6373880528 7967350660 15934701320 31869402640