Search a number
-
+
7116364074510 = 23251671992379283
BaseRepresentation
bin110011110001110100001…
…0110100100111000001110
3221012022120122111102202200
41213203220112210320032
51413043303200341020
623045113523302330
71333066064402565
oct147435026447016
927168518442680
107116364074510
1122a403aaa6869
1296b247b1a9a6
133c80bb4647a2
141a861071abdc
15c51a6398590
hex678e85a4e0e

7116364074510 has 96 divisors (see below), whose sum is σ = 18706882521600. Its totient is φ = 1876853778624.

The previous prime is 7116364074493. The next prime is 7116364074529. The reversal of 7116364074510 is 154704636117.

It is a happy number.

7116364074510 is a `hidden beast` number, since 7 + 1 + 1 + 6 + 3 + 64 + 0 + 74 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1801329 + ... + 4180611.

It is an arithmetic number, because the mean of its divisors is an integer number (194863359600).

Almost surely, 27116364074510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7116364074510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9353441260800).

7116364074510 is an abundant number, since it is smaller than the sum of its proper divisors (11590518447090).

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

7116364074510 is a wasteful number, since it uses less digits than its factorization.

7116364074510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379662 (or 2379659 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 7116364074510 in words is "seven trillion, one hundred sixteen billion, three hundred sixty-four million, seventy-four thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 199 334 398 501 597 835 995 1002 1194 1503 1670 1791 1990 2505 2985 3006 3582 5010 5970 7515 8955 15030 17910 33233 66466 99699 166165 199398 299097 332330 498495 598194 996990 1495485 2379283 2990970 4758566 7137849 11896415 14275698 21413547 23792830 35689245 42827094 71378490 107067735 214135470 397340261 473477317 794680522 946954634 1192020783 1420431951 1986701305 2367386585 2384041566 2840863902 3576062349 3973402610 4261295853 4734773170 5960103915 7102159755 7152124698 8522591706 11920207830 14204319510 17880311745 21306479265 35760623490 42612958530 79070711939 158141423878 237212135817 395353559695 474424271634 711636407451 790707119390 1186060679085 1423272814902 2372121358170 3558182037255 7116364074510