Search a number
-
+
31072423452 = 223719122315919
BaseRepresentation
bin11100111100000011…
…111000111000011100
32222012111020122210020
4130330003320320130
51002114020022302
622135141512140
72150001145560
oct347403707034
988174218706
1031072423452
11121a5633704
126032112650
132c1260bba5
14170aa496a0
15c1cd63ebc
hex73c0f8e1c

31072423452 has 96 divisors (see below), whose sum is σ = 87297638400. Its totient is φ = 8403175872.

The previous prime is 31072423429. The next prime is 31072423453. The reversal of 31072423452 is 25432427013.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31072423453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1943949 + ... + 1959867.

It is an arithmetic number, because the mean of its divisors is an integer number (909350400).

Almost surely, 231072423452 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 31072423452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43648819200).

31072423452 is an abundant number, since it is smaller than the sum of its proper divisors (56225214948).

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

31072423452 is a wasteful number, since it uses less digits than its factorization.

31072423452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17175 (or 17173 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 31072423452 in words is "thirty-one billion, seventy-two million, four hundred twenty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1223 1596 2446 3669 4892 7338 8561 14676 15919 17122 23237 25683 31838 34244 46474 47757 51366 63676 69711 92948 95514 102732 111433 139422 162659 191028 222866 278844 302461 325318 334299 445732 487977 604922 650636 668598 907383 975954 1209844 1337196 1814766 1951908 2117227 3629532 4234454 6351681 8468908 12703362 19468937 25406724 38937874 58406811 77875748 116813622 136282559 233627244 272565118 369909803 408847677 545130236 739819606 817695354 1109729409 1479639212 1635390708 2219458818 2589368621 4438917636 5178737242 7768105863 10357474484 15536211726 31072423452