Search a number
-
+
2642641692860 = 2251313973122349
BaseRepresentation
bin100110011101001001101…
…110000010100010111100
3100100122010020120100022002
4212131021232002202330
5321244112233132420
65342002434441432
7361632060523241
oct46351156024274
910318106510262
102642641692860
11929813384364
123681b3433278
1316227a6542b0
1491c940b75c8
1548b1b6eb075
hex26749b828bc

2642641692860 has 48 divisors (see below), whose sum is σ = 6019431852000. Its totient is φ = 968724866304.

The previous prime is 2642641692829. The next prime is 2642641692869. The reversal of 2642641692860 is 682961462462.

It is a junction number, because it is equal to n+sod(n) for n = 2642641692796 and 2642641692805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642641692869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36525035 + ... + 36597314.

It is an arithmetic number, because the mean of its divisors is an integer number (125404830250).

Almost surely, 22642641692860 is an apocalyptic number.

2642641692860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642641692860 is an abundant number, since it is smaller than the sum of its proper divisors (3376790159140).

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

2642641692860 is a wasteful number, since it uses less digits than its factorization.

2642641692860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73122510 (or 73122508 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 56.

The spelling of 2642641692860 in words is "two trillion, six hundred forty-two billion, six hundred forty-one million, six hundred ninety-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 7228 9035 18070 36140 73122349 146244698 292489396 365611745 731223490 950590537 1462446980 1901181074 3802362148 4752952685 9505905370 10164006511 19011810740 20328013022 40656026044 50820032555 101640065110 132132084643 203280130220 264264169286 528528338572 660660423215 1321320846430 2642641692860