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97013560900 = 2252311472
BaseRepresentation
bin101101001011001110…
…1010111011001000100
3100021102001010111222011
41122112131113121010
53042140432422100
6112322321144004
710003041442654
oct1322635273104
9307361114864
1097013560900
1138163698213
121697578b004
1391c0b95809
1449a4588364
1527cbe73bba
hex1696757644

97013560900 has 27 divisors (see below), whose sum is σ = 210526186269. Its totient is φ = 38804178480.

The previous prime is 97013560877. The next prime is 97013560949. The reversal of 97013560900 is 906531079.

The square root of 97013560900 is 311470.

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., 34924881924 + 62088678976 = 186882^2 + 249176^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 3099127 + ... + 3130273.

Almost surely, 297013560900 is an apocalyptic number.

97013560900 is the 311470-th square number.

It is an amenable number.

97013560900 is an abundant number, since it is smaller than the sum of its proper divisors (113512625369).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97013560900 is an frugal number, since it uses more digits than its factorization.

97013560900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62308 (or 31154 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 40.

The spelling of 97013560900 in words is "ninety-seven billion, thirteen million, five hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 31147 62294 124588 155735 311470 622940 778675 1557350 3114700 970135609 1940271218 3880542436 4850678045 9701356090 19402712180 24253390225 48506780450 97013560900