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46873549009 = 7215721972
BaseRepresentation
bin101011101001111000…
…011001100011010001
311110222200212000010201
4223221320121203101
51231444112032014
633311114455201
73246366410200
oct535170314321
9143880760121
1046873549009
1118973995161
129101a34501
134560113221
1423a940d237
151345173e74
hexae9e198d1

46873549009 has 27 divisors (see below), whose sum is σ = 55155858993. Its totient is φ = 39718774368.

The previous prime is 46873549007. The next prime is 46873549027. The reversal of 46873549009 is 90094537864.

The square root of 46873549009 is 216503.

It is a perfect power (a square), and thus also a powerful number.

46873549009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8127563409 + 38745985600 = 90153^2 + 196840^2 .

It is not a de Polignac number, because 46873549009 - 21 = 46873549007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46873549007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 237936699 + ... + 237936895.

Almost surely, 246873549009 is an apocalyptic number.

46873549009 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

46873549009 is the 216503-rd square number.

46873549009 is the 108252-nd centered octagonal number.

It is an amenable number.

46873549009 is a deficient number, since it is larger than the sum of its proper divisors (8282309984).

46873549009 is an frugal number, since it uses more digits than its factorization.

46873549009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 46873549009 in words is "forty-six billion, eight hundred seventy-three million, five hundred forty-nine thousand, nine".

Divisors: 1 7 49 157 197 1099 1379 7693 9653 24649 30929 38809 172543 216503 271663 1207801 1515521 1901641 4855853 6093013 33990971 42651091 237936797 298557637 956603041 6696221287 46873549009