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31416499009 = 72253212
BaseRepresentation
bin11101010000100100…
…011011101101000001
310000002110200111201101
4131100210123231001
51003320110432014
622233232334401
72161346556400
oct352044335501
9100073614641
1031416499009
1112361881775
1261093a4401
132c6899c5ac
141740613637
15c3d17c474
hex75091bb41

31416499009 has 9 divisors (see below), whose sum is σ = 36547166691. Its totient is φ = 26927364240.

The previous prime is 31416498977. The next prime is 31416499027. The reversal of 31416499009 is 90099461413.

The square root of 31416499009 is 177247.

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., 25313764609 + 6102734400 = 159103^2 + 78120^2 .

It is not a de Polignac number, because 31416499009 - 25 = 31416498977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31416499009.

It is not an unprimeable number, because it can be changed into a prime (31416499039) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1228069 + ... + 1253389.

It is an arithmetic number, because the mean of its divisors is an integer number (4060796299).

Almost surely, 231416499009 is an apocalyptic number.

31416499009 is the 177247-th square number.

31416499009 is the 88624-th centered octagonal number.

It is an amenable number.

31416499009 is a deficient number, since it is larger than the sum of its proper divisors (5130667682).

31416499009 is an frugal number, since it uses more digits than its factorization.

31416499009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50656 (or 25328 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 31416499009 in words is "thirty-one billion, four hundred sixteen million, four hundred ninety-nine thousand, nine".

Divisors: 1 7 49 25321 177247 1240729 641153041 4488071287 31416499009