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31579050009 = 3131765972277
BaseRepresentation
bin11101011010010000…
…100001000000011001
310000111210112221202210
4131122100201000121
51004133214100014
622301320345333
72165362332123
oct353220410031
9100453487683
1031579050009
1112435606741
126153915249
132c93574210
141758048213
15c4c58a859
hex75a421019

31579050009 has 32 divisors (see below), whose sum is σ = 48085107840. Its totient is φ = 18262121472.

The previous prime is 31579050001. The next prime is 31579050029. The reversal of 31579050009 is 90005097513.

It is not a de Polignac number, because 31579050009 - 23 = 31579050001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (31579050001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400779 + ... + 473055.

It is an arithmetic number, because the mean of its divisors is an integer number (1502659620).

Almost surely, 231579050009 is an apocalyptic number.

31579050009 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

31579050009 is a deficient number, since it is larger than the sum of its proper divisors (16506057831).

31579050009 is a wasteful number, since it uses less digits than its factorization.

31579050009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72969.

The product of its (nonzero) digits is 42525, while the sum is 39.

The spelling of 31579050009 in words is "thirty-one billion, five hundred seventy-nine million, fifty thousand, nine".

Divisors: 1 3 13 17 39 51 221 659 663 1977 8567 11203 25701 33609 72277 145639 216831 436917 939601 1228709 2818803 3686127 15973217 47630543 47919651 142891629 619197059 809719231 1857591177 2429157693 10526350003 31579050009