Search a number
-
+
16006132270524 = 22311973533541327
BaseRepresentation
bin1110100011101011011111…
…0101000000010110111100
32002200011121212201102110010
43220322313311000112330
54044221024330124044
654013040551543220
73241255610322264
oct350726765002674
962604555642403
1016006132270524
11511118742a040
12196611938ab10
138c14aaab6156
143d49b551c7a4
151cb55243ebb9
hexe8eb7d405bc

16006132270524 has 96 divisors (see below), whose sum is σ = 41279532327936. Its totient is φ = 4786739527680.

The previous prime is 16006132270519. The next prime is 16006132270529. The reversal of 16006132270524 is 42507223160061.

It is an interprime number because it is at equal distance from previous prime (16006132270519) and next prime (16006132270529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16006132270529) 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, 2749149 + ... + 6290475.

It is an arithmetic number, because the mean of its divisors is an integer number (429995128416).

Almost surely, 216006132270524 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 16006132270524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20639766163968).

16006132270524 is an abundant number, since it is smaller than the sum of its proper divisors (25273400057412).

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

16006132270524 is a wasteful number, since it uses less digits than its factorization.

16006132270524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541795 (or 3541793 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 16006132270524 in words is "sixteen trillion, six billion, one hundred thirty-two million, two hundred seventy thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 353 388 582 706 1059 1067 1164 1412 2118 2134 3201 3883 4236 4268 6402 7766 11649 12804 15532 23298 34241 46596 68482 102723 136964 205446 376651 410892 753302 1129953 1506604 2259906 3541327 4519812 7082654 10623981 14165308 21247962 38954597 42495924 77909194 116863791 155818388 233727582 343508719 467455164 687017438 1030526157 1250088431 1374034876 2061052314 2500176862 3750265293 3778595909 4122104628 5000353724 7500530586 7557191818 11335787727 13750972741 15001061172 15114383636 22671575454 27501945482 41252918223 45343150908 55003890964 82505836446 121258577807 165011672892 242517155614 363775733421 485034311228 727551466842 1333844355877 1455102933684 2667688711754 4001533067631 5335377423508 8003066135262 16006132270524