Search a number
-
+
90106831108 = 22741523150077
BaseRepresentation
bin101001111101011001…
…0010010000100000100
322121120200220021212001
41103322302102010010
52434014322043413
6105221114035044
76336634266340
oct1237262220404
9277520807761
1090106831108
1135239a58968
1215568718a84
13865ccb8158
14450b18a620
1525259304dd
hex14fac92104

90106831108 has 48 divisors (see below), whose sum is σ = 184963330944. Its totient is φ = 37603042560.

The previous prime is 90106831097. The next prime is 90106831151. The reversal of 90106831108 is 80113860109.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525366 + ... + 675442.

It is an arithmetic number, because the mean of its divisors is an integer number (3853402728).

Almost surely, 290106831108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90106831108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92481665472).

90106831108 is an abundant number, since it is smaller than the sum of its proper divisors (94856499836).

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

90106831108 is a wasteful number, since it uses less digits than its factorization.

90106831108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150652 (or 150650 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 90106831108 in words is "ninety billion, one hundred six million, eight hundred thirty-one thousand, one hundred eight".

Divisors: 1 2 4 7 14 28 41 82 164 287 523 574 1046 1148 2092 3661 7322 14644 21443 42886 85772 150077 150101 300154 300202 600308 600404 1050539 2101078 4202156 6153157 12306314 24612628 43072099 78490271 86144198 156980542 172288396 313961084 549431897 1098863794 2197727588 3218101111 6436202222 12872404444 22526707777 45053415554 90106831108