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212754457212 = 223112677602083
BaseRepresentation
bin1100011000100100100…
…1110110001001111100
3202100011020001020120120
43012021021312021330
511441210120112322
6241423230214540
721241153022313
oct3061111661174
9670136036516
10212754457212
1182257387730
1235297054450
13170a787c18b
14a423db127a
155803072a5c
hex318927627c

212754457212 has 48 divisors (see below), whose sum is σ = 541759999872. Its totient is φ = 64446857280.

The previous prime is 212754457177. The next prime is 212754457249.

212754457212 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52323 + ... + 654405.

It is an arithmetic number, because the mean of its divisors is an integer number (11286666664).

Almost surely, 2212754457212 is an apocalyptic number.

212754457212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212754457212 is an abundant number, since it is smaller than the sum of its proper divisors (329005542660).

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

212754457212 is a wasteful number, since it uses less digits than its factorization.

212754457212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604778 (or 604776 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

It can be divided in two parts, 212754 and 457212, that added together give a palindrome (669966).

The spelling of 212754457212 in words is "two hundred twelve billion, seven hundred fifty-four million, four hundred fifty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2677 5354 8031 10708 16062 29447 32124 58894 88341 117788 176682 353364 602083 1204166 1806249 2408332 3612498 6622913 7224996 13245826 19868739 26491652 39737478 79474956 1611776191 3223552382 4835328573 6447104764 9670657146 17729538101 19341314292 35459076202 53188614303 70918152404 106377228606 212754457212