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104918335921 = 72462732
BaseRepresentation
bin110000110110110011…
…1101100000110110001
3101000210221100200202101
41201231213230012301
53204333043222141
6120110540020401
710402655066200
oct1415547540661
9330727320671
10104918335921
114054a735733
1218400b31701
139b80777699
145114345237
152ae0e0e531
hex186d9ec1b1

104918335921 has 9 divisors (see below), whose sum is σ = 122050497771. Its totient is φ = 89928058752.

The previous prime is 104918335877. The next prime is 104918335927. The reversal of 104918335921 is 129533819401.

The square root of 104918335921 is 323911.

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., 36935074225 + 67983261696 = 192185^2 + 260736^2 .

It is not a de Polignac number, because 104918335921 - 27 = 104918335793 is a prime.

It is a super-2 number, since 2×1049183359212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104918335927) 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 8 ways as a sum of consecutive naturals, for example, 2244241 + ... + 2290513.

It is an arithmetic number, because the mean of its divisors is an integer number (13561166419).

Almost surely, 2104918335921 is an apocalyptic number.

104918335921 is the 323911-st square number.

104918335921 is the 161956-th centered octagonal number.

It is an amenable number.

104918335921 is a deficient number, since it is larger than the sum of its proper divisors (17132161850).

104918335921 is an frugal number, since it uses more digits than its factorization.

104918335921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92560 (or 46280 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 104918335921 in words is "one hundred four billion, nine hundred eighteen million, three hundred thirty-five thousand, nine hundred twenty-one".

Divisors: 1 7 49 46273 323911 2267377 2141190529 14988333703 104918335921