Search a number
-
+
97812894972 = 223132337736787
BaseRepresentation
bin101101100011000011…
…0100101010011111100
3100100110202012220011210
41123012012211103330
53100310100114342
6112533513444420
710031615614002
oct1330606452374
9310422186153
1097812894972
1138533913791
1216b59410710
1392ba674560
144a3c7bca72
15282721879c
hex16c61a54fc

97812894972 has 96 divisors (see below), whose sum is σ = 263404657152. Its totient is φ = 28009656576.

The previous prime is 97812894931. The next prime is 97812894997. The reversal of 97812894972 is 27949821879.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 235638 + ... + 501149.

It is an arithmetic number, because the mean of its divisors is an integer number (2743798512).

Almost surely, 297812894972 is an apocalyptic number.

97812894972 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

97812894972 is an abundant number, since it is smaller than the sum of its proper divisors (165591762180).

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

97812894972 is a wasteful number, since it uses less digits than its factorization.

97812894972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736867 (or 736865 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 66.

The spelling of 97812894972 in words is "ninety-seven billion, eight hundred twelve million, eight hundred ninety-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 23 26 37 39 46 52 69 74 78 92 111 138 148 156 222 276 299 444 481 598 851 897 962 1196 1443 1702 1794 1924 2553 2886 3404 3588 5106 5772 10212 11063 22126 33189 44252 66378 132756 736787 1473574 2210361 2947148 4420722 8841444 9578231 16946101 19156462 27261119 28734693 33892202 38312924 50838303 54522238 57469386 67784404 81783357 101676606 109044476 114938772 163566714 203353212 220299313 327133428 354394547 440598626 627005737 660897939 708789094 881197252 1063183641 1254011474 1321795878 1417578188 1881017211 2126367282 2508022948 2643591756 3762034422 4252734564 7524068844 8151074581 16302149162 24453223743 32604298324 48906447486 97812894972