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245292104534416 = 242323724321072
BaseRepresentation
bin110111110001011110000100…
…110000011100100110010000
31012011111200210111220000101221
4313301132010300130212100
5224122331212230100131
62225405345344134424
7102444525005615062
oct6761360460344620
91164450714800357
10245292104534416
1171180885292005
1223617305607414
13a6b3c3ba76a74
1444802b6171732
151d5592593e411
hexdf1784c1c990

245292104534416 has 405 divisors, whose sum is σ = 527687309477601. Its totient is φ = 110446540630272.

The previous prime is 245292104534369. The next prime is 245292104534419. The reversal of 245292104534416 is 614435401292542.

The square root of 245292104534416 is 15661804.

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., 219490743648400 + 25801360886016 = 14815220^2 + 5079504^2 .

It is a super-2 number, since 2×2452921045344162 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245292104534419) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2292449575035 + ... + 2292449575141.

Almost surely, 2245292104534416 is an apocalyptic number.

245292104534416 is the 15661804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245292104534416

245292104534416 is an abundant number, since it is smaller than the sum of its proper divisors (282395204943185).

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

245292104534416 is an equidigital number, since it uses as much as digits as its factorization.

245292104534416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 245292104534416 in words is "two hundred forty-five trillion, two hundred ninety-two billion, one hundred four million, five hundred thirty-four thousand, four hundred sixteen".