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214888295267352 = 23327808952709317
BaseRepresentation
bin110000110111000010010100…
…100000010111110000011000
31001011212010020202211001212200
4300313002110200113300120
5211131212212042023402
62041010153043010200
763156111165120630
oct6067022440276030
91034763222731780
10214888295267352
1162519683608963
122012695b369960
1392b9b57a69005
143b0c912b5b6c0
1519c9b0eb2021c
hexc37094817c18

214888295267352 has 96 divisors (see below), whose sum is σ = 665212676887200. Its totient is φ = 61389064484352.

The previous prime is 214888295267341. The next prime is 214888295267357. The reversal of 214888295267352 is 253762592888412.

214888295267352 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 8 + 8 + 2 + 9 + 5 + 267 + 352 = 666.

It is a super-2 number, since 2×2148882952673522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214888295267357) 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 23 ways as a sum of consecutive naturals, for example, 22277803 + ... + 30431514.

It is an arithmetic number, because the mean of its divisors is an integer number (6929298717575).

Almost surely, 2214888295267352 is an apocalyptic number.

It is an amenable number.

214888295267352 is an abundant number, since it is smaller than the sum of its proper divisors (450324381619848).

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

214888295267352 is a wasteful number, since it uses less digits than its factorization.

214888295267352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52717425 (or 52717418 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 214888295267352 in words is "two hundred fourteen trillion, eight hundred eighty-eight billion, two hundred ninety-five million, two hundred sixty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 8089 16178 24267 32356 48534 56623 64712 72801 97068 113246 145602 169869 194136 226492 291204 339738 452984 509607 582408 679476 1019214 1358952 2038428 4076856 52709317 105418634 158127951 210837268 316255902 368965219 421674536 474383853 632511804 737930438 948767706 1106895657 1265023608 1475860876 1897535412 2213791314 2951721752 3320686971 3795070824 4427582628 6641373942 8855165256 13282747884 26565495768 426365665213 852731330426 1279096995639 1705462660852 2558193991278 2984559656491 3410925321704 3837290986917 5116387982556 5969119312982 7674581973834 8953678969473 10232775965112 11938238625964 15349163947668 17907357938946 23876477251928 26861036908419 30698327895336 35814715877892 53722073816838 71629431755784 107444147633676 214888295267352