Search a number
-
+
90979506234 = 23321139720113
BaseRepresentation
bin101010010111011001…
…1010001100000111010
322200211111222210002000
41110232303101200322
52442311223144414
6105443450321430
76400362020601
oct1245663214072
9280744883060
1090979506234
1135647617681
1215770a29276
13876ba35376
144591032a38
152577360b09
hex152ecd183a

90979506234 has 64 divisors (see below), whose sum is σ = 203656663680. Its totient is φ = 30105250560.

The previous prime is 90979506151. The next prime is 90979506239. The reversal of 90979506234 is 43260597909.

90979506234 is a `hidden beast` number, since 9 + 0 + 9 + 7 + 9 + 5 + 0 + 623 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90979506239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4513362 + ... + 4533474.

It is an arithmetic number, because the mean of its divisors is an integer number (3182135370).

Almost surely, 290979506234 is an apocalyptic number.

90979506234 is an abundant number, since it is smaller than the sum of its proper divisors (112677157446).

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

90979506234 is a wasteful number, since it uses less digits than its factorization.

90979506234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20732 (or 20726 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 90979506234 in words is "ninety billion, nine hundred seventy-nine million, five hundred six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 211 397 422 633 794 1191 1266 1899 2382 3573 3798 5697 7146 10719 11394 20113 21438 40226 60339 83767 120678 167534 181017 251301 362034 502602 543051 753903 1086102 1507806 2261709 4243843 4523418 7984861 8487686 12731529 15969722 23954583 25463058 38194587 47909166 71863749 76389174 114583761 143727498 215591247 229167522 431182494 1684805671 3369611342 5054417013 10108834026 15163251039 30326502078 45489753117 90979506234