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211706732512 = 25112343608129
BaseRepresentation
bin1100010100101010110…
…1000101111111100000
3202020110012120022111001
43011022231011333200
511432033410420022
6241131242001344
721203201351332
oct3051255057740
9666405508431
10211706732512
1181869a27650
12350441a6254
1316c6b7a2432
14a364b9d452
1557910b5b27
hex314ab45fe0

211706732512 has 96 divisors (see below), whose sum is σ = 485492071680. Its totient is φ = 89905643520.

The previous prime is 211706732507. The next prime is 211706732513. The reversal of 211706732512 is 215237607112.

211706732512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211706732513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44064 + ... + 652192.

It is an arithmetic number, because the mean of its divisors is an integer number (5057209080).

Almost surely, 2211706732512 is an apocalyptic number.

211706732512 is a gapful number since it is divisible by the number (22) 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 211706732512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242746035840).

211706732512 is an abundant number, since it is smaller than the sum of its proper divisors (273785339168).

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

211706732512 is a wasteful number, since it uses less digits than its factorization.

211706732512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608216 (or 608208 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 211706732512 in words is "two hundred eleven billion, seven hundred six million, seven hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 43 44 46 86 88 92 172 176 184 253 344 352 368 473 506 688 736 946 989 1012 1376 1892 1978 2024 3784 3956 4048 7568 7912 8096 10879 15136 15824 21758 31648 43516 87032 174064 348128 608129 1216258 2432516 4865032 6689419 9730064 13378838 13986967 19460128 26149547 26757676 27973934 52299094 53515352 55947868 104598188 107030704 111895736 153856637 209196376 214061408 223791472 287645017 307713274 418392752 447582944 575290034 601439581 615426548 836785504 1150580068 1202879162 1230853096 2301160136 2405758324 2461706192 4602320272 4811516648 4923412384 6615835391 9204640544 9623033296 13231670782 19246066592 26463341564 52926683128 105853366256 211706732512