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97035077025 = 3252312448769
BaseRepresentation
bin101101001011110111…
…1011100010110100001
3100021110112121122112200
41122113233130112201
53042211434431100
6112324410243413
710003422355125
oct1322757342641
9307415548480
1097035077025
1138174853637
1216980a26569
1391c548a053
1449a7389585
1527cdcc3e00
hex1697bdc5a1

97035077025 has 54 divisors (see below), whose sum is σ = 179588329830. Its totient is φ = 50082508800.

The previous prime is 97035077021. The next prime is 97035077101. The reversal of 97035077025 is 52077053079.

It is a happy number.

97035077025 is a `hidden beast` number, since 9 + 70 + 3 + 507 + 70 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1242351009 + 95792726016 = 35247^2 + 309504^2 .

It is not a de Polignac number, because 97035077025 - 22 = 97035077021 is a prime.

It is a super-3 number, since 3×970350770253 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97035077021) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8160 + ... + 440609.

Almost surely, 297035077025 is an apocalyptic number.

It is an amenable number.

97035077025 is a deficient number, since it is larger than the sum of its proper divisors (82553252805).

97035077025 is a wasteful number, since it uses less digits than its factorization.

97035077025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448847 (or 448808 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The spelling of 97035077025 in words is "ninety-seven billion, thirty-five million, seventy-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 961 1395 2325 2883 4805 6975 8649 14415 24025 43245 72075 216225 448769 1346307 2243845 4038921 6731535 11219225 13911839 20194605 33657675 41735517 69559195 100973025 125206551 208677585 347795975 431267009 626032755 1043387925 1293801027 2156335045 3130163775 3881403081 6469005135 10781675225 19407015405 32345025675 97035077025