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214531476676 = 221117973737927
BaseRepresentation
bin1100011111001100010…
…0101000110011000100
3202111202001211012000021
43013303010220303010
512003330024223201
6242315430024524
721333201315136
oct3076304506304
9674661735007
10214531476676
1182a89475760
12356b21a8144
13172cba8429a
14a551dc5056
1558a908bea1
hex31f3128cc4

214531476676 has 96 divisors (see below), whose sum is σ = 439352508672. Its totient is φ = 90577059840.

The previous prime is 214531476673. The next prime is 214531476697. The reversal of 214531476676 is 676674135412.

It is a super-3 number, since 3×2145314766763 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214531476673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27059425 + ... + 27067351.

It is an arithmetic number, because the mean of its divisors is an integer number (4576588632).

Almost surely, 2214531476676 is an apocalyptic number.

It is an amenable number.

214531476676 is an abundant number, since it is smaller than the sum of its proper divisors (224821031996).

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

214531476676 is a wasteful number, since it uses less digits than its factorization.

214531476676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8427 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 52.

The spelling of 214531476676 in words is "two hundred fourteen billion, five hundred thirty-one million, four hundred seventy-six thousand, six hundred seventy-six".

Divisors: 1 2 4 11 17 22 34 44 68 97 187 194 373 374 388 746 748 1067 1492 1649 2134 3298 4103 4268 6341 6596 7927 8206 12682 15854 16412 18139 25364 31708 36181 36278 69751 72362 72556 87197 134759 139502 144724 174394 269518 279004 348788 397991 539036 615077 768919 795982 1230154 1482349 1537838 1591964 2460308 2956771 2964698 3075676 5913542 5929396 6765847 8458109 11827084 13071623 13531694 16916218 26143246 27063388 32524481 33832436 50265107 52286492 65048962 100530214 130097924 143787853 201060428 286806787 287575706 552916177 573613574 575151412 1105832354 1147227148 2211664708 3154874657 4875715379 6309749314 9751430758 12619498628 19502861516 53632869169 107265738338 214531476676