Search a number
-
+
10521562642432 = 211163112927917
BaseRepresentation
bin1001100100011011111000…
…0000001111100000000000
31101020211222210100200202021
42121012332000033200000
52334341130014024212
634213312242331224
72134105062556462
oct231067600174000
941224883320667
1010521562642432
1133971958a6966
12121b196059b14
135b4243636aca
14285363da6132
15133a53ab2307
hex991be00f800

10521562642432 has 96 divisors (see below), whose sum is σ = 21186562597200. Its totient is φ = 5223688372224.

The previous prime is 10521562642343. The next prime is 10521562642439. The reversal of 10521562642432 is 23424626512501.

It is a super-2 number, since 2×105215626424322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10521562642439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376873338 + ... + 376901254.

Almost surely, 210521562642432 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 10521562642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10593281298600).

10521562642432 is an abundant number, since it is smaller than the sum of its proper divisors (10664999954768).

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

10521562642432 is a wasteful number, since it uses less digits than its factorization.

10521562642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29231 (or 29211 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 10521562642432 in words is "ten trillion, five hundred twenty-one billion, five hundred sixty-two million, six hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 512 652 1024 1129 1304 2048 2258 2608 4516 5216 9032 10432 18064 20864 27917 36128 41728 55834 72256 83456 111668 144512 166912 184027 223336 289024 333824 368054 446672 578048 736108 893344 1156096 1472216 1786688 2312192 2944432 3573376 4550471 5888864 7146752 9100942 11777728 14293504 18201884 23555456 28587008 31518293 36403768 47110912 57174016 63036586 72807536 94221824 126073172 145615072 188443648 252146344 291230144 376887296 504292688 582460288 1008585376 1164920576 2017170752 2329841152 4034341504 4659682304 5137481759 8068683008 9319364608 10274963518 16137366016 20549927036 32274732032 41099854072 64549464064 82199708144 164399416288 328798832576 657597665152 1315195330304 2630390660608 5260781321216 10521562642432