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214712428032 = 293246595579
BaseRepresentation
bin1100011111110111011…
…0111010011000000000
3202112012200022110121100
43013331312322120000
512004212340144112
6242345412254400
721340526345124
oct3077566723000
9675180273540
10214712428032
1183071628133
1235742911400
131732a3cc1ab
14a56c049584
1558b9dd22dc
hex31fddba600

214712428032 has 60 divisors (see below), whose sum is σ = 619674618420. Its totient is φ = 71570807808.

The previous prime is 214712427973. The next prime is 214712428037. The reversal of 214712428032 is 230824217412.

214712428032 is a `hidden beast` number, since 214 + 7 + 12 + 428 + 0 + 3 + 2 = 666.

214712428032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147124280322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214712428037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23293182 + ... + 23302397.

It is an arithmetic number, because the mean of its divisors is an integer number (10327910307).

Almost surely, 2214712428032 is an apocalyptic number.

It is an amenable number.

214712428032 is an abundant number, since it is smaller than the sum of its proper divisors (404962190388).

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

214712428032 is an equidigital number, since it uses as much as digits as its factorization.

214712428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46595603 (or 46595584 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 214712428032 in words is "two hundred fourteen billion, seven hundred twelve million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 46595579 93191158 139786737 186382316 279573474 372764632 419360211 559146948 745529264 838720422 1118293896 1491058528 1677440844 2236587792 2982117056 3354881688 4473175584 5964234112 6709763376 8946351168 11928468224 13419526752 17892702336 23856936448 26839053504 35785404672 53678107008 71570809344 107356214016 214712428032