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31786281340 = 225112109120503
BaseRepresentation
bin11101100110100111…
…000010100101111100
310001001020111101201021
4131212213002211330
51010044242000330
622334042153524
72203456635112
oct354647024574
9101036441637
1031786281340
1112531588700
1261b11b28a4
132cc7490ac8
14177778dab2
15c6087267a
hex7669c297c

31786281340 has 72 divisors (see below), whose sum is σ = 74044887840. Its totient is φ = 11452510080.

The previous prime is 31786281283. The next prime is 31786281341. The reversal of 31786281340 is 4318268713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31786281341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203529 + ... + 324031.

It is an arithmetic number, because the mean of its divisors is an integer number (1028401220).

Almost surely, 231786281340 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 31786281340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37022443920).

31786281340 is an abundant number, since it is smaller than the sum of its proper divisors (42258606500).

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

31786281340 is a wasteful number, since it uses less digits than its factorization.

31786281340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120643 (or 120630 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 31786281340 in words is "thirty-one billion, seven hundred eighty-six million, two hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 121 218 220 242 436 484 545 605 1090 1199 1210 2180 2398 2420 4796 5995 11990 13189 23980 26378 52756 65945 120503 131890 241006 263780 482012 602515 1205030 1325533 2410060 2651066 5302132 6627665 13134827 13255330 14580863 26269654 26510660 29161726 52539308 58323452 65674135 72904315 131348270 144483097 145808630 262696540 288966194 291617260 577932388 722415485 1444830970 1589314067 2889661940 3178628134 6357256268 7946570335 15893140670 31786281340