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7048248680 = 2351143401929
BaseRepresentation
bin1101001000001101…
…11011110101101000
3200012012112010112102
412210012323311220
5103413322424210
63123220232532
7336443060654
oct64406736550
920165463472
107048248680
112a97609610
12144853b748
138842ca165
144ac119a64
152b3b99ea5
hex1a41bbd68

7048248680 has 128 divisors (see below), whose sum is σ = 17765827200. Its totient is φ = 2494464000.

The previous prime is 7048248679. The next prime is 7048248719. The reversal of 7048248680 is 868428407.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7586456 + ... + 7587384.

It is an arithmetic number, because the mean of its divisors is an integer number (138795525).

Almost surely, 27048248680 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 7048248680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8882913600).

7048248680 is an abundant number, since it is smaller than the sum of its proper divisors (10717578520).

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

7048248680 is a wasteful number, since it uses less digits than its factorization.

7048248680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The square root of 7048248680 is about 83953.8485121439. The cubic root of 7048248680 is about 1917.3161902310.

The spelling of 7048248680 in words is "seven billion, forty-eight million, two hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 401 430 440 473 802 860 929 946 1604 1720 1858 1892 2005 2365 3208 3716 3784 4010 4411 4645 4730 7432 8020 8822 9290 9460 10219 16040 17243 17644 18580 18920 20438 22055 34486 35288 37160 39947 40876 44110 51095 68972 79894 81752 86215 88220 102190 137944 159788 172430 176440 189673 199735 204380 319576 344860 372529 379346 399470 408760 439417 689720 745058 758692 798940 878834 948365 1490116 1517384 1597880 1757668 1862645 1896730 2197085 2980232 3515336 3725290 3793460 4097819 4394170 7450580 7586920 8195638 8788340 14901160 16018747 16391276 17576680 20489095 32037494 32782552 40978190 64074988 80093735 81956380 128149976 160187470 163912760 176206217 320374940 352412434 640749880 704824868 881031085 1409649736 1762062170 3524124340 7048248680