Search a number
-
+
106786377676 = 221117433320059
BaseRepresentation
bin110001101110011110…
…1101100111111001100
3101012122010102001022001
41203130331230333030
53222144303041201
6121020150402044
710500160143106
oct1433475547714
9335563361261
10106786377676
11413191430a0
1218842660324
13a0ba79bb34
145250490576
152b9ee08301
hex18dcf6cfcc

106786377676 has 48 divisors (see below), whose sum is σ = 220876951680. Its totient is φ = 44621579520.

The previous prime is 106786377653. The next prime is 106786377679. The reversal of 106786377676 is 676773687601.

It is a super-2 number, since 2×1067863776762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106786377679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627866 + ... + 1692193.

It is an arithmetic number, because the mean of its divisors is an integer number (4601603160).

Almost surely, 2106786377676 is an apocalyptic number.

It is an amenable number.

106786377676 is an abundant number, since it is smaller than the sum of its proper divisors (114090574004).

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

106786377676 is a wasteful number, since it uses less digits than its factorization.

106786377676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320134 (or 3320132 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 64.

The spelling of 106786377676 in words is "one hundred six billion, seven hundred eighty-six million, three hundred seventy-seven thousand, six hundred seventy-six".

Divisors: 1 2 4 11 17 22 34 43 44 68 86 172 187 374 473 731 748 946 1462 1892 2924 8041 16082 32164 3320059 6640118 13280236 36520649 56441003 73041298 112882006 142762537 146082596 225764012 285525074 571050148 620851033 1241702066 1570387907 2426963129 2483404132 3140775814 4853926258 6281551628 9707852516 26696594419 53393188838 106786377676