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31016906190 = 23251395774297
BaseRepresentation
bin11100111000110000…
…000110110111001110
32222001121210002102100
4130320300012313032
51002010311444230
622125435535530
72145425231634
oct347060066716
988047702370
1031016906190
1112177264776
1260175ba5a6
132c03c7143a
141703517354
15c18049660
hex738c06dce

31016906190 has 96 divisors (see below), whose sum is σ = 81383833440. Its totient is φ = 8195530752.

The previous prime is 31016906183. The next prime is 31016906203. The reversal of 31016906190 is 9160961013.

31016906190 is a `hidden beast` number, since 31 + 0 + 1 + 6 + 9 + 0 + 619 + 0 = 666.

It is a super-2 number, since 2×310169061902 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7216122 + ... + 7220418.

It is an arithmetic number, because the mean of its divisors is an integer number (847748265).

Almost surely, 231016906190 is an apocalyptic number.

31016906190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31016906190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40691916720).

31016906190 is an abundant number, since it is smaller than the sum of its proper divisors (50366927250).

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

31016906190 is a wasteful number, since it uses less digits than its factorization.

31016906190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 31016906190 in words is "thirty-one billion, sixteen million, nine hundred six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 577 695 834 1154 1251 1390 1731 2085 2502 2885 3462 4170 4297 5193 5770 6255 8594 8655 10386 12510 12891 17310 21485 25782 25965 38673 42970 51930 64455 77346 80203 128910 160406 193365 240609 386730 401015 481218 597283 721827 802030 1194566 1203045 1443654 1791849 2406090 2479369 2986415 3583698 3609135 4958738 5375547 5972830 7218270 7438107 8959245 10751094 12396845 14876214 17918490 22314321 24793690 26877735 37190535 44628642 53755470 74381070 111571605 223143210 344632291 689264582 1033896873 1723161455 2067793746 3101690619 3446322910 5169484365 6203381238 10338968730 15508453095 31016906190