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10381147848 = 23324118119429
BaseRepresentation
bin10011010101100001…
…11011111011001000
3222210110221221200100
421222300323323020
5132230033212343
64434040005400
7515153205111
oct115260737310
928713857610
1010381147848
114447984035
122018760860
13c9595ac46
14706a1b208
1540b59a9d3
hex26ac3bec8

10381147848 has 96 divisors (see below), whose sum is σ = 28961969400. Its totient is φ = 3357158400.

The previous prime is 10381147837. The next prime is 10381147853. The reversal of 10381147848 is 84874118301.

It can be written as a sum of positive squares in 4 ways, for example, as 404733924 + 9976413924 = 20118^2 + 99882^2 .

It is a super-2 number, since 2×103811478482 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524598 + ... + 544026.

Almost surely, 210381147848 is an apocalyptic number.

10381147848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10381147848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480984700).

10381147848 is an abundant number, since it is smaller than the sum of its proper divisors (18580821552).

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

10381147848 is a wasteful number, since it uses less digits than its factorization.

10381147848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19663 (or 19656 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10381147848 in words is "ten billion, three hundred eighty-one million, one hundred forty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 181 246 328 362 369 492 543 724 738 984 1086 1448 1476 1629 2172 2952 3258 4344 6516 7421 13032 14842 19429 22263 29684 38858 44526 58287 59368 66789 77716 89052 116574 133578 155432 174861 178104 233148 267156 349722 466296 534312 699444 796589 1398888 1593178 2389767 3186356 3516649 4779534 6372712 7033298 7169301 9559068 10549947 14066596 14338602 19118136 21099894 28133192 28677204 31649841 42199788 57354408 63299682 84399576 126599364 144182609 253198728 288365218 432547827 576730436 865095654 1153460872 1297643481 1730191308 2595286962 3460382616 5190573924 10381147848