Search a number
-
+
97495691049 = 32292372972
BaseRepresentation
bin101101011001100110…
…0100010111100101001
3100022122122100021012100
41122303030202330221
53044132344103144
6112442223004013
710021014462141
oct1326314427451
9308578307170
1097495691049
1138390859789
1216a8b139609
139269a31c23
144a0c60b921
15280945c269
hex16b3322f29

97495691049 has 81 divisors (see below), whose sum is σ = 151460399727. Its totient is φ = 60430261248.

The previous prime is 97495691039. The next prime is 97495691057. The reversal of 97495691049 is 94019659479.

The square root of 97495691049 is 312243.

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

97495691049 is a `hidden beast` number, since 97 + 495 + 6 + 9 + 10 + 49 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 11904337449 + 85591353600 = 109107^2 + 292560^2 .

It is not a de Polignac number, because 97495691049 - 211 = 97495689001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97495691039) 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 80 ways as a sum of consecutive naturals, for example, 1005110169 + ... + 1005110265.

Almost surely, 297495691049 is an apocalyptic number.

97495691049 is the 312243-rd square number.

97495691049 is the 156122-nd centered octagonal number.

It is an amenable number.

97495691049 is a deficient number, since it is larger than the sum of its proper divisors (53964708678).

97495691049 is an equidigital number, since it uses as much as digits as its factorization.

97495691049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

It can be divided in two parts, 97495 and 691049, that added together give a square (788544 = 8882).

The spelling of 97495691049 in words is "ninety-seven billion, four hundred ninety-five million, six hundred ninety-one thousand, forty-nine".

Divisors: 1 3 9 29 37 87 97 111 261 291 333 841 873 1073 1369 2523 2813 3219 3589 4107 7569 8439 9409 9657 10767 12321 25317 28227 31117 32301 39701 81577 84681 93351 104081 119103 132793 244731 272861 280053 312243 348133 357309 398379 734193 818583 936729 1044399 1151329 1195137 2455749 3018349 3133197 3453987 3850997 7912969 9055047 10095857 10361961 11552991 12880921 23738907 27165141 30287571 34658973 38642763 71216721 90862713 111678913 115928289 292779853 335036739 373546709 878339559 1005110217 1120640127 2635018677 3361920381 10832854561 32498563683 97495691049