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12937309248 = 263294156671
BaseRepresentation
bin11000000110001111…
…11010110001000000
31020101121211101220210
430003013322301000
5202443422343443
65535431234120
7635412212523
oct140307726100
936347741823
1012937309248
115539856a16
122610818940
1312b23c2096
148aa2cabba
1550abbbc33
hex3031fac40

12937309248 has 112 divisors (see below), whose sum is σ = 36274613760. Its totient is φ = 4062105600.

The previous prime is 12937309241. The next prime is 12937309249. The reversal of 12937309248 is 84290373921.

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 = 12937309197 and 12937309206.

It is not an unprimeable number, because it can be changed into a prime (12937309241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199953 + ... + 256623.

It is an arithmetic number, because the mean of its divisors is an integer number (323880480).

Almost surely, 212937309248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12937309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18137306880).

12937309248 is an abundant number, since it is smaller than the sum of its proper divisors (23337304512).

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

12937309248 is a wasteful number, since it uses less digits than its factorization.

12937309248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56756 (or 56746 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 12937309248 in words is "twelve billion, nine hundred thirty-seven million, three hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 64 82 87 96 116 123 164 174 192 232 246 328 348 464 492 656 696 928 984 1189 1312 1392 1856 1968 2378 2624 2784 3567 3936 4756 5568 7134 7872 9512 14268 19024 28536 38048 56671 57072 76096 113342 114144 170013 226684 228288 340026 453368 680052 906736 1360104 1643459 1813472 2323511 2720208 3286918 3626944 4647022 4930377 5440416 6573836 6970533 9294044 9860754 10880832 13147672 13941066 18588088 19721508 26295344 27882132 37176176 39443016 52590688 55764264 67381819 74352352 78886032 105181376 111528528 134763638 148704704 157772064 202145457 223057056 269527276 315544128 404290914 446114112 539054552 808581828 1078109104 1617163656 2156218208 3234327312 4312436416 6468654624 12937309248