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10043249440 = 255719334639
BaseRepresentation
bin10010101101001111…
…11101001100100000
3221220221010221012111
421112213331030200
5131032032440230
64340325405104
7503611132420
oct112647751440
927827127174
1010043249440
114294174a54
121b43569794
13c40951063
146b3bc0480
153dbaa292a
hex2569fd320

10043249440 has 96 divisors (see below), whose sum is σ = 27136650240. Its totient is φ = 3440876544.

The previous prime is 10043249393. The next prime is 10043249441. The reversal of 10043249440 is 4494234001.

10043249440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10043249441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2162641 + ... + 2167279.

It is an arithmetic number, because the mean of its divisors is an integer number (282673440).

Almost surely, 210043249440 is an apocalyptic number.

10043249440 is a gapful number since it is divisible by the number (10) 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 10043249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568325120).

10043249440 is an abundant number, since it is smaller than the sum of its proper divisors (17093400800).

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

10043249440 is a wasteful number, since it uses less digits than its factorization.

10043249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 10043249440 in words is "ten billion, forty-three million, two hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1933 3866 4639 7732 9278 9665 13531 15464 18556 19330 23195 27062 30928 32473 37112 38660 46390 54124 61856 64946 67655 74224 77320 92780 108248 129892 135310 148448 154640 162365 185560 216496 259784 270620 309280 324730 371120 432992 519568 541240 649460 742240 1039136 1082480 1298920 2164960 2597840 5195680 8967187 17934374 35868748 44835935 62770309 71737496 89671870 125540618 143474992 179343740 251081236 286949984 313851545 358687480 502162472 627703090 717374960 1004324944 1255406180 1434749920 2008649888 2510812360 5021624720 10043249440