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31431369648 = 2437281332903
BaseRepresentation
bin11101010001011101…
…001010001110110000
310000010111200000101210
4131101131022032300
51003332412312043
622234523200120
72161620143130
oct352135121660
9100114600353
1031431369648
111236a209258
126112376040
132c6baa80a3
1417425a4ac0
15c3e618633
hex75174a3b0

31431369648 has 80 divisors (see below), whose sum is σ = 93127896576. Its totient is φ = 8948405760.

The previous prime is 31431369643. The next prime is 31431369659. The reversal of 31431369648 is 84696313413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 31431369597 and 31431369606.

It is not an unprimeable number, because it can be changed into a prime (31431369643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72036 + ... + 260867.

Almost surely, 231431369648 is an apocalyptic number.

It is an amenable number.

31431369648 is an abundant number, since it is smaller than the sum of its proper divisors (61696526928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31431369648 is a wasteful number, since it uses less digits than its factorization.

31431369648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333202 (or 333196 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The spelling of 31431369648 in words is "thirty-one billion, four hundred thirty-one million, three hundred sixty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 281 336 562 843 1124 1686 1967 2248 3372 3934 4496 5901 6744 7868 11802 13488 15736 23604 31472 47208 94416 332903 665806 998709 1331612 1997418 2330321 2663224 3994836 4660642 5326448 6990963 7989672 9321284 13981926 15979344 18642568 27963852 37285136 55927704 93545743 111855408 187091486 280637229 374182972 561274458 654820201 748365944 1122548916 1309640402 1496731888 1964460603 2245097832 2619280804 3928921206 4490195664 5238561608 7857842412 10477123216 15715684824 31431369648