Search a number
-
+
31067479920 = 2435431300343
BaseRepresentation
bin11100111011110001…
…000001111101110000
32222012010221111112110
4130323301001331300
51002111233324140
622134443525320
72146611136131
oct347361017560
988163844473
1031067479920
11121a2867544
126030529840
132c1159aa19
14170a11dc88
15c1c6d9380
hex73bc41f70

31067479920 has 80 divisors (see below), whose sum is σ = 96532964352. Its totient is φ = 8265411840.

The previous prime is 31067479813. The next prime is 31067479939. The reversal of 31067479920 is 2997476013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 31067479920.

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 15 ways as a sum of consecutive naturals, for example, 46732 + ... + 253611.

Almost surely, 231067479920 is an apocalyptic number.

31067479920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31067479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48266482176).

31067479920 is an abundant number, since it is smaller than the sum of its proper divisors (65465484432).

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

31067479920 is a wasteful number, since it uses less digits than its factorization.

31067479920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300790 (or 300784 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 31067479920 in words is "thirty-one billion, sixty-seven million, four hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 1293 1724 2155 2586 3448 4310 5172 6465 6896 8620 10344 12930 17240 20688 25860 34480 51720 103440 300343 600686 901029 1201372 1501715 1802058 2402744 3003430 3604116 4505145 4805488 6006860 7208232 9010290 12013720 14416464 18020580 24027440 36041160 72082320 129447833 258895666 388343499 517791332 647239165 776686998 1035582664 1294478330 1553373996 1941717495 2071165328 2588956660 3106747992 3883434990 5177913320 6213495984 7766869980 10355826640 15533739960 31067479920