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214623206118 = 23347711637307
BaseRepresentation
bin1100011111100010001…
…0100011101011100110
3202111222110102112011000
43013320202203223212
512004022020043433
6242332504054130
721335364102666
oct3077042435346
9674873375130
10214623206118
1183026228412
1235718a64346
1317314a90469
14a5602621a6
1558b215b113
hex31f88a3ae6

214623206118 has 128 divisors (see below), whose sum is σ = 497046896640. Its totient is φ = 68599833120.

The previous prime is 214623206111. The next prime is 214623206131. The reversal of 214623206118 is 811602326412.

It is a happy number.

214623206118 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 2 + 32 + 0 + 611 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214623206111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29368621 + ... + 29375927.

It is an arithmetic number, because the mean of its divisors is an integer number (3883178880).

Almost surely, 2214623206118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214623206118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248523448320).

214623206118 is an abundant number, since it is smaller than the sum of its proper divisors (282423690522).

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

214623206118 is a wasteful number, since it uses less digits than its factorization.

214623206118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 214623206118 in words is "two hundred fourteen billion, six hundred twenty-three million, two hundred six thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 47 54 71 94 141 142 163 213 282 326 423 426 489 639 846 978 1269 1278 1467 1917 2538 2934 3337 3834 4401 6674 7307 7661 8802 10011 11573 14614 15322 20022 21921 22983 23146 30033 34719 43842 45966 60066 65763 68949 69438 90099 104157 131526 137898 180198 197289 206847 208314 312471 343429 394578 413694 518797 543931 624942 686858 1030287 1037594 1087862 1191041 1556391 1631793 2060574 2382082 3090861 3112782 3263586 3573123 4669173 4895379 6181722 7146246 9272583 9338346 9790758 10719369 14007519 14686137 18545166 21438738 24383459 28015038 29372274 32158107 48766918 55978927 64316214 73150377 84563911 111957854 146300754 167936781 169127822 219451131 253691733 335873562 438902262 503810343 507383466 658353393 761075199 1007620686 1316706786 1511431029 1522150398 2283225597 3022862058 3974503817 4566451194 7949007634 11923511451 23847022902 35770534353 71541068706 107311603059 214623206118