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31732790769 = 34197932
BaseRepresentation
bin11101100011011010…
…111111010111110001
310000220111211210110000
4131203122333113301
51004442043301034
622324451500213
72202240161661
oct354332772761
9100814753400
1031732790769
1112504373419
1261972b7669
132cb9382994
1417706281a1
15c5ad08599
hex7636bf5f1

31732790769 has 15 divisors (see below), whose sum is σ = 47405699803. Its totient is φ = 21154125024.

The previous prime is 31732790723. The next prime is 31732790773. The reversal of 31732790769 is 96709723713.

It is a happy number.

The square root of 31732790769 is 178137.

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., 25505687025 + 6227103744 = 159705^2 + 78912^2 .

It is not a de Polignac number, because 31732790769 - 27 = 31732790641 is a prime.

It is a super-2 number, since 2×317327907692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31732790269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1593337 + ... + 1613129.

Almost surely, 231732790769 is an apocalyptic number.

31732790769 is the 178137-th square number.

31732790769 is the 89069-th centered octagonal number.

It is an amenable number.

31732790769 is a deficient number, since it is larger than the sum of its proper divisors (15672909034).

31732790769 is an frugal number, since it uses more digits than its factorization.

31732790769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39598 (or 19796 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 31732790769 in words is "thirty-one billion, seven hundred thirty-two million, seven hundred ninety thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 19793 59379 178137 534411 1603233 391762849 1175288547 3525865641 10577596923 31732790769