Search a number
-
+
97622502916 = 2229253872
BaseRepresentation
bin101101011101011000…
…0010010111000000100
3100022222110221222101011
41122322300102320010
53044412330043131
6112502553012004
710024114404061
oct1327260227004
9308873858334
1097622502916
11384463a3384
1216b056b4004
13928a0a2533
144a213bbc68
15281565b0b1
hex16bac12e04

97622502916 has 27 divisors (see below), whose sum is σ = 176966382229. Its totient is φ = 47119356368.

The previous prime is 97622502889. The next prime is 97622502917. The reversal of 97622502916 is 61920522679.

The square root of 97622502916 is 312446.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51190872516 + 46431630400 = 226254^2 + 215480^2 .

It is a super-3 number, since 3×976225029163 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97622502916.

It is not an unprimeable number, because it can be changed into a prime (97622502917) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18119175 + ... + 18124561.

Almost surely, 297622502916 is an apocalyptic number.

97622502916 is the 312446-th square number.

It is an amenable number.

97622502916 is a deficient number, since it is larger than the sum of its proper divisors (79343879313).

97622502916 is an frugal number, since it uses more digits than its factorization.

97622502916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 97622502916 by its sum of digits (49), we get a square (4783502642884 = 21871222).

The spelling of 97622502916 in words is "ninety-seven billion, six hundred twenty-two million, five hundred two thousand, nine hundred sixteen".

Divisors: 1 2 4 29 58 116 841 1682 3364 5387 10774 21548 156223 312446 624892 4530467 9060934 18121868 29019769 58039538 116079076 841573301 1683146602 3366293204 24405625729 48811251458 97622502916