Search a number
-
+
31296308148 = 22337367112799
BaseRepresentation
bin11101001001011001…
…111100001110110100
32222210002112011212000
4131021121330032310
51003043323330043
622213300255300
72155360141620
oct351131741664
988702464760
1031296308148
11122aaa4a586
1260950a1530
132c49b09841
14172c688180
15c3283a2d3
hex74967c3b4

31296308148 has 96 divisors (see below), whose sum is σ = 92983296000. Its totient is φ = 8917358688.

The previous prime is 31296308111. The next prime is 31296308161. The reversal of 31296308148 is 84180369213.

31296308148 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 630 + 8 + 1 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 221053 + ... + 333851.

It is an arithmetic number, because the mean of its divisors is an integer number (968576000).

Almost surely, 231296308148 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 31296308148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46491648000).

31296308148 is an abundant number, since it is smaller than the sum of its proper divisors (61686987852).

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

31296308148 is a wasteful number, since it uses less digits than its factorization.

31296308148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113186 (or 113178 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 31296308148 in words is "thirty-one billion, two hundred ninety-six million, three hundred eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 367 378 734 756 1101 1468 2202 2569 3303 4404 5138 6606 7707 9909 10276 13212 15414 19818 23121 30828 39636 46242 69363 92484 112799 138726 225598 277452 338397 451196 676794 789593 1015191 1353588 1579186 2030382 2368779 3045573 3158372 4060764 4737558 6091146 7106337 9475116 12182292 14212674 21319011 28425348 41397233 42638022 82794466 85276044 124191699 165588932 248383398 289780631 372575097 496766796 579561262 745150194 869341893 1117725291 1159122524 1490300388 1738683786 2235450582 2608025679 3477367572 4470901164 5216051358 7824077037 10432102716 15648154074 31296308148