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31824020349 = 32111775724979
BaseRepresentation
bin11101101000110111…
…000000001101111101
310001010212111201220100
4131220313000031331
51010133422122344
622341511111313
72204425465302
oct355067001575
9101125451810
1031824020349
1112550914570
126201972539
133002245494
14177c7b50a9
15c63d29569
hex768dc037d

31824020349 has 48 divisors (see below), whose sum is σ = 53169030720. Its totient is φ = 18128033280.

The previous prime is 31824020329. The next prime is 31824020363. The reversal of 31824020349 is 94302042813.

It is not a de Polignac number, because 31824020349 - 212 = 31824016253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31824020329) 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 47 ways as a sum of consecutive naturals, for example, 1261542 + ... + 1286520.

It is an arithmetic number, because the mean of its divisors is an integer number (1107688140).

Almost surely, 231824020349 is an apocalyptic number.

It is an amenable number.

31824020349 is a deficient number, since it is larger than the sum of its proper divisors (21345010371).

31824020349 is a wasteful number, since it uses less digits than its factorization.

31824020349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25770 (or 25767 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31824020349 in words is "thirty-one billion, eight hundred twenty-four million, twenty thousand, three hundred forty-nine".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 757 1683 2271 6813 8327 12869 24979 24981 38607 74937 74943 115821 141559 224811 274769 424643 424677 824307 1273929 1274031 2472921 3821787 4671073 14013219 18909103 42039657 56727309 170181927 208000133 321454751 624000399 964364253 1872001197 2893092759 3536002261 10608006783 31824020349