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426027720624 = 243112927823127
BaseRepresentation
bin1100011001100010011…
…10110001111110110000
31111201122121022120110120
412030301032301332300
523440001044024444
6523414152330240
742531235606302
oct6146116617660
91451577276416
10426027720624
1115474a5a6110
126a6979a3980
1331235a6936c
1416896c31972
15b136925b19
hex63313b1fb0

426027720624 has 80 divisors (see below), whose sum is σ = 1242024433920. Its totient is φ = 124647604480.

The previous prime is 426027720619. The next prime is 426027720637.

426027720624 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13896252 + ... + 13926875.

It is an arithmetic number, because the mean of its divisors is an integer number (15525305424).

Almost surely, 2426027720624 is an apocalyptic number.

426027720624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

426027720624 is an abundant number, since it is smaller than the sum of its proper divisors (815996713296).

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

426027720624 is a wasteful number, since it uses less digits than its factorization.

426027720624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27823178 (or 27823172 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 426027720624 in words is "four hundred twenty-six billion, twenty-seven million, seven hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 7656 15312 27823127 55646254 83469381 111292508 166938762 222585016 306054397 333877524 445170032 612108794 667755048 806870683 918163191 1224217588 1335510096 1613741366 1836326382 2420612049 2448435176 3227482732 3672652764 4841224098 4896870352 6454965464 7345305528 8875577513 9682448196 12909930928 14690611056 17751155026 19364896392 26626732539 35502310052 38729792784 53253465078 71004620104 106506930156 142009240208 213013860312 426027720624