Search a number
-
+
31766648372 = 22295343311933
BaseRepresentation
bin11101100101011100…
…001001011000110100
310000222212112221100022
4131211130021120310
51010024230221442
622332101304312
72203131025124
oct354534113064
9100885487308
1031766648372
1112521499108
1261a6705098
132cc33a8774
141774d1cc84
15c5dc953d2
hex765709634

31766648372 has 48 divisors (see below), whose sum is σ = 58733897040. Its totient is φ = 15010265088.

The previous prime is 31766648323. The next prime is 31766648377. The reversal of 31766648372 is 27384666713.

It can be written as a sum of positive squares in 8 ways, for example, as 283114276 + 31483534096 = 16826^2 + 177436^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31766648377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2656118 + ... + 2668050.

It is an arithmetic number, because the mean of its divisors is an integer number (1223622855).

Almost surely, 231766648372 is an apocalyptic number.

It is an amenable number.

31766648372 is a deficient number, since it is larger than the sum of its proper divisors (26967248668).

31766648372 is a wasteful number, since it uses less digits than its factorization.

31766648372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12452 (or 12450 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 53.

The spelling of 31766648372 in words is "thirty-one billion, seven hundred sixty-six million, six hundred forty-eight thousand, three hundred seventy-two".

Divisors: 1 2 4 29 53 58 106 116 212 433 866 1537 1732 3074 6148 11933 12557 22949 23866 25114 45898 47732 50228 91796 346057 632449 665521 692114 1264898 1331042 1384228 2529796 2662084 5166989 10333978 18341021 20667956 36682042 73364084 149842681 273850417 299685362 547700834 599370724 1095401668 7941662093 15883324186 31766648372