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31425762680 = 235133117910891
BaseRepresentation
bin11101010001000111…
…110001010101111000
310000010010010011002022
4131101013301111320
51003324443401210
622234203054012
72161521401234
oct352107612570
9100103104068
1031425762680
11123670296a4
126110511308
132c6a893c60
1417419455c4
15c3ddac155
hex7511f1578

31425762680 has 128 divisors (see below), whose sum is σ = 79049779200. Its totient is φ = 11165299200.

The previous prime is 31425762679. The next prime is 31425762721. The reversal of 31425762680 is 8626752413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2880035 + ... + 2890925.

It is an arithmetic number, because the mean of its divisors is an integer number (617576400).

Almost surely, 231425762680 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 31425762680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39524889600).

31425762680 is an abundant number, since it is smaller than the sum of its proper divisors (47624016520).

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

31425762680 is a wasteful number, since it uses less digits than its factorization.

31425762680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11125 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 31425762680 in words is "thirty-one billion, four hundred twenty-five million, seven hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 179 248 260 310 358 403 520 620 716 806 895 1240 1432 1612 1790 2015 2327 3224 3580 4030 4654 5549 7160 8060 9308 10891 11098 11635 16120 18616 21782 22196 23270 27745 43564 44392 46540 54455 55490 72137 87128 93080 108910 110980 141583 144274 217820 221960 283166 288548 337621 360685 435640 566332 577096 675242 707915 721370 1132664 1350484 1415830 1442740 1688105 1949489 2700968 2831660 2885480 3376210 3898978 4389073 5663320 6752420 7797956 8778146 9747445 13504840 15595912 17556292 19494890 21945365 25343357 35112584 38989780 43890730 50686714 60434159 77979560 87781460 101373428 120868318 126716785 175562920 202746856 241736636 253433570 302170795 483473272 506867140 604341590 785644067 1013734280 1208683180 1571288134 2417366360 3142576268 3928220335 6285152536 7856440670 15712881340 31425762680