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97807346933 = 17371195313009
BaseRepresentation
bin101101100010111000…
…1011010110011110101
3100100110100210000200212
41123011301122303311
53100302140100213
6112533154515205
710031520505652
oct1330561326365
9310410700625
1097807346933
113853077442a
1216b57595b05
1392b94811aa
144a3bb76c29
1528269be9a8
hex16c5c5acf5

97807346933 has 16 divisors (see below), whose sum is σ = 106376733360. Its totient is φ = 89551650816.

The previous prime is 97807346921. The next prime is 97807346963. The reversal of 97807346933 is 33964370879.

It can be written as a sum of positive squares in 8 ways, for example, as 18549895204 + 79257451729 = 136198^2 + 281527^2 .

It is a cyclic number.

It is not a de Polignac number, because 97807346933 - 212 = 97807342837 is a prime.

It is a super-2 number, since 2×978073469332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97807346963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7511933 + ... + 7524941.

It is an arithmetic number, because the mean of its divisors is an integer number (6648545835).

Almost surely, 297807346933 is an apocalyptic number.

It is an amenable number.

97807346933 is a deficient number, since it is larger than the sum of its proper divisors (8569386427).

97807346933 is a wasteful number, since it uses less digits than its factorization.

97807346933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25016.

The product of its (nonzero) digits is 20575296, while the sum is 59.

The spelling of 97807346933 in words is "ninety-seven billion, eight hundred seven million, three hundred forty-six thousand, nine hundred thirty-three".

Divisors: 1 17 37 629 11953 13009 203201 221153 442261 481333 7518437 8182661 155496577 2643441809 5753373349 97807346933