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48824866842884 = 2211191572081178757
BaseRepresentation
bin10110001100111111011001…
…10110000010100100000100
320101212121111220210122202022
423012133230312002210010
522344421311402433014
6251501500103302312
713166323500406226
oct1306375466024404
9211777456718668
1048824866842884
1114614567520120
12558670514a998
13213221bbbbcb2
14c0b1c98c4416
1559a0a80e2a8e
hex2c67ecd82904

48824866842884 has 96 divisors (see below), whose sum is σ = 98789907968640. Its totient is φ = 20880988876800.

The previous prime is 48824866842863. The next prime is 48824866842887.

48824866842884 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 48824866842799 and 48824866842808.

It is not an unprimeable number, because it can be changed into a prime (48824866842887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273046034 + ... + 273224790.

It is an arithmetic number, because the mean of its divisors is an integer number (1029061541340).

Almost surely, 248824866842884 is an apocalyptic number.

48824866842884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48824866842884 is an abundant number, since it is smaller than the sum of its proper divisors (49965041125756).

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

48824866842884 is a wasteful number, since it uses less digits than its factorization.

48824866842884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181029 (or 181027 counting only the distinct ones).

The product of its digits is 9663676416, while the sum is 80.

The spelling of 48824866842884 in words is "forty-eight trillion, eight hundred twenty-four billion, eight hundred sixty-six million, eight hundred forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 19 22 38 44 76 157 209 314 418 628 836 1727 2081 2983 3454 4162 5966 6908 8324 11932 22891 32813 39539 45782 65626 79078 91564 131252 158156 178757 326717 357514 434929 653434 715028 869858 1306868 1739716 1966327 3396383 3593887 3932654 6207623 6792766 7187774 7865308 12415246 13585532 14375548 24830492 28064849 37360213 56129698 68283853 74720426 112259396 136567706 149440852 273135412 308713339 371993317 533232131 617426678 743986634 1066464262 1234853356 1487973268 2132928524 4091926487 5865553441 7067873023 8183852974 11731106882 14135746046 16367705948 23462213764 28271492092 58402950769 77746603253 116805901538 155493206506 233611803076 310986413012 642432458459 1109656064611 1284864916918 2219312129222 2569729833836 4438624258444 12206216710721 24412433421442 48824866842884