Search a number
-
+
106366654580 = 2257372853873
BaseRepresentation
bin110001100001111110…
…0100101100001110100
3101011112212121220110012
41203003330211201310
53220314330421310
6120510354315352
710453602434444
oct1430374454164
9334485556405
10106366654580
11411232269aa
1218745b88b58
13a051843184
145210834124
152b7814ac05
hex18c3f25874

106366654580 has 24 divisors (see below), whose sum is σ = 226429840392. Its totient is φ = 41963830272.

The previous prime is 106366654579. The next prime is 106366654631. The reversal of 106366654580 is 85456663601.

It can be written as a sum of positive squares in 4 ways, for example, as 18681969124 + 87684685456 = 136682^2 + 296116^2 .

It is a super-2 number, since 2×1063666545802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36425477 + ... + 36428396.

It is an arithmetic number, because the mean of its divisors is an integer number (9434576683).

Almost surely, 2106366654580 is an apocalyptic number.

106366654580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106366654580 is an abundant number, since it is smaller than the sum of its proper divisors (120063185812).

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

106366654580 is a wasteful number, since it uses less digits than its factorization.

106366654580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72853955 (or 72853953 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 106366654580 in words is "one hundred six billion, three hundred sixty-six million, six hundred fifty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 72853873 145707746 291415492 364269365 728538730 1457077460 5318332729 10636665458 21273330916 26591663645 53183327290 106366654580