Search a number
-
+
106433334431604 = 22325147574408687
BaseRepresentation
bin11000001100110011110001…
…000101110100111101110100
3111221211221001002001000210200
4120030303301011310331310
5102422300432103302404
61014210444314320500
731263361150432305
oct3014636105647564
9457757032030720
10106433334431604
1130a0513a636854
12bb2b5b0429130
13475080ac555cb
141c3d587dcc7ac
15c4889687e839
hex60ccf1174f74

106433334431604 has 36 divisors (see below), whose sum is σ = 269092089249984. Its totient is φ = 35470885177872.

The previous prime is 106433334431597. The next prime is 106433334431621. The reversal of 106433334431604 is 406134433334601.

106433334431604 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 3 + 3 + 3 + 4 + 4 + 31 + 604 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1064333344316042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106433334431604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287019052 + ... + 287389635.

It is an arithmetic number, because the mean of its divisors is an integer number (7474780256944).

Almost surely, 2106433334431604 is an apocalyptic number.

It is an amenable number.

106433334431604 is an abundant number, since it is smaller than the sum of its proper divisors (162658754818380).

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

106433334431604 is a wasteful number, since it uses less digits than its factorization.

106433334431604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574413844 (or 574413839 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 45.

The spelling of 106433334431604 in words is "one hundred six trillion, four hundred thirty-three billion, three hundred thirty-four million, four hundred thirty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 5147 10294 15441 20588 30882 46323 61764 92646 185292 574408687 1148817374 1723226061 2297634748 3446452122 5169678183 6892904244 10339356366 20678712732 2956481511989 5912963023978 8869444535967 11825926047956 17738889071934 26608333607901 35477778143868 53216667215802 106433334431604