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31199138544 = 2437312995309
BaseRepresentation
bin11101000011100111…
…010001001011110000
32222112022200110012210
4131003213101023300
51002343434413134
622155505452120
72153100205410
oct350347211360
988468613183
1031199138544
1112260111622
126068641040
132c32947432
14171d7d2640
15c290442e9
hex7439d12f0

31199138544 has 80 divisors (see below), whose sum is σ = 95083120640. Its totient is φ = 8626487040.

The previous prime is 31199138543. The next prime is 31199138587. The reversal of 31199138544 is 44583199113.

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 = 31199138493 and 31199138502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31199138543) 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, 1487239 + ... + 1508070.

It is an arithmetic number, because the mean of its divisors is an integer number (1188539008).

Almost surely, 231199138544 is an apocalyptic number.

It is an amenable number.

31199138544 is an abundant number, since it is smaller than the sum of its proper divisors (63883982096).

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

31199138544 is a wasteful number, since it uses less digits than its factorization.

31199138544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995358 (or 2995352 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The spelling of 31199138544 in words is "thirty-one billion, one hundred ninety-nine million, one hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 2995309 5990618 8985927 11981236 17971854 20967163 23962472 35943708 41934326 47924944 62901489 71887416 83868652 92854579 125802978 143774832 167737304 185709158 251605956 278563737 335474608 371418316 503211912 557127474 649982053 742836632 1006423824 1114254948 1299964106 1485673264 1949946159 2228509896 2599928212 3899892318 4457019792 5199856424 7799784636 10399712848 15599569272 31199138544