Search a number
-
+
31424755164 = 22311478361027
BaseRepresentation
bin11101010001000011…
…111011010111011100
310000010001012222000220
4131101003323113130
51003324214131124
622234125321340
72161510003665
oct352103732734
9100101188026
1031424755164
1112366500740
126110106250
132c6a6004aa
14174176236c
15c3dc5d879
hex7510fb5dc

31424755164 has 96 divisors (see below), whose sum is σ = 82677805056. Its totient is φ = 9207602880.

The previous prime is 31424755151. The next prime is 31424755217. The reversal of 31424755164 is 46155742413.

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, 484419 + ... + 545445.

It is an arithmetic number, because the mean of its divisors is an integer number (861227136).

Almost surely, 231424755164 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 31424755164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41338902528).

31424755164 is an abundant number, since it is smaller than the sum of its proper divisors (51253049892).

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

31424755164 is a wasteful number, since it uses less digits than its factorization.

31424755164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61175 (or 61173 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The spelling of 31424755164 in words is "thirty-one billion, four hundred twenty-four million, seven hundred fifty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 83 94 132 141 166 188 249 282 332 498 517 564 913 996 1034 1551 1826 2068 2739 3102 3652 3901 5478 6204 7802 10956 11703 15604 23406 42911 46812 61027 85822 122054 128733 171644 183081 244108 257466 366162 514932 671297 732324 1342594 2013891 2685188 2868269 4027782 5065241 5736538 8055564 8604807 10130482 11473076 15195723 17209614 20260964 30391446 31550959 34419228 55717651 60782892 63101918 94652877 111435302 126203836 167152953 189305754 222870604 238066327 334305906 378611508 476132654 668611812 714198981 952265308 1428397962 2618729597 2856795924 5237459194 7856188791 10474918388 15712377582 31424755164