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10530535104 = 2632157116447
BaseRepresentation
bin10011100111010101…
…10011011011000000
31000011220001121110200
421303222303123000
5133031304110404
64500533525200
7521646033345
oct116352633300
930156047420
1010530535104
114514237981
12205a7a3800
13cba8a3c7b
1471c7c67cc
15419758839
hex273ab36c0

10530535104 has 84 divisors (see below), whose sum is σ = 30376392384. Its totient is φ = 3487790592.

The previous prime is 10530535061. The next prime is 10530535123. The reversal of 10530535104 is 40153503501.

10530535104 is a `hidden beast` number, since 1 + 0 + 5 + 305 + 351 + 0 + 4 = 666.

10530535104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105305351042 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 32209 + ... + 148655.

Almost surely, 210530535104 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 10530535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188196192).

10530535104 is an abundant number, since it is smaller than the sum of its proper divisors (19845857280).

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

10530535104 is a wasteful number, since it uses less digits than its factorization.

10530535104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116622 (or 116609 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10530535104 in words is "ten billion, five hundred thirty million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 157 192 288 314 471 576 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 10048 11304 15072 22608 30144 45216 90432 116447 232894 349341 465788 698682 931576 1048023 1397364 1863152 2096046 2794728 3726304 4192092 5589456 7452608 8384184 11178912 16768368 18282179 22357824 33536736 36564358 54846537 67073472 73128716 109693074 146257432 164539611 219386148 292514864 329079222 438772296 585029728 658158444 877544592 1170059456 1316316888 1755089184 2632633776 3510178368 5265267552 10530535104