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214164463812 = 223132172365411
BaseRepresentation
bin1100011101110100110…
…0100110000011000100
3202110210111020000000020
43013131030212003010
512002102100320222
6242215155415140
721321123622605
oct3073514460304
9673714200006
10214164463812
1182910290542
123560b2b44b0
1317270a22500
14a519369dac
155886c4265c
hex31dd3260c4

214164463812 has 108 divisors (see below), whose sum is σ = 574817924016. Its totient is φ = 62020308480.

The previous prime is 214164463783. The next prime is 214164463859. The reversal of 214164463812 is 218364461412.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 403387 + ... + 768797.

Almost surely, 2214164463812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214164463812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287408962008).

214164463812 is an abundant number, since it is smaller than the sum of its proper divisors (360653460204).

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

214164463812 is a wasteful number, since it uses less digits than its factorization.

214164463812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365478 (or 365446 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 214164463812 in words is "two hundred fourteen billion, one hundred sixty-four million, four hundred sixty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 289 338 442 507 578 663 676 867 884 1014 1156 1326 1734 2028 2652 2873 3468 3757 5746 7514 8619 11271 11492 15028 17238 22542 34476 45084 48841 97682 146523 195364 293046 365411 586092 730822 1096233 1461644 2192466 4384932 4750343 6211987 9500686 12423974 14251029 18635961 19001372 24847948 28502058 37271922 57004116 61754459 74543844 80755831 105603779 123508918 161511662 185263377 211207558 242267493 247017836 316811337 323023324 370526754 422415116 484534986 633622674 741053508 969069972 1049825803 1267245348 1372849127 2099651606 2745698254 3149477409 4118547381 4199303212 5491396508 6298954818 8237094762 12597909636 16474189524 17847038651 35694077302 53541115953 71388154604 107082231906 214164463812