Search a number
-
+
97232924628 = 223272111828649
BaseRepresentation
bin101101010001110001…
…0001010111111010100
3100021222022220100102200
41122203202022333110
53043113112042003
6112400155004500
710011344136240
oct1324342127724
9307868810380
1097232924628
11382664a6454
1216a17139730
13922746c738
1449c576b420
1527e13556a3
hex16a388afd4

97232924628 has 72 divisors (see below), whose sum is σ = 282226526400. Its totient is φ = 27649157760.

The previous prime is 97232924609. The next prime is 97232924629. The reversal of 97232924628 is 82642923279.

97232924628 is a `hidden beast` number, since 9 + 7 + 2 + 3 + 2 + 9 + 2 + 4 + 628 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97232924629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861153 + ... + 967496.

Almost surely, 297232924628 is an apocalyptic number.

It is an amenable number.

97232924628 is an abundant number, since it is smaller than the sum of its proper divisors (184993601772).

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

97232924628 is a wasteful number, since it uses less digits than its factorization.

97232924628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828877 (or 1828872 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 97232924628 in words is "ninety-seven billion, two hundred thirty-two million, nine hundred twenty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1477 1899 2532 2954 3798 4431 5908 7596 8862 13293 17724 26586 53172 1828649 3657298 5485947 7314596 10971894 12800543 16457841 21943788 25601086 32915682 38401629 51202172 65831364 76803258 115204887 153606516 230409774 385844939 460819548 771689878 1157534817 1543379756 2315069634 2700914573 3472604451 4630139268 5401829146 6945208902 8102743719 10803658292 13890417804 16205487438 24308231157 32410974876 48616462314 97232924628