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214126684956 = 223219382181929
BaseRepresentation
bin1100011101101011110…
…0011110101100011100
3202110200212010122011100
43013122330132230130
512002012412404311
6242211325553100
721320154535302
oct3073274365434
9673625118140
10214126684956
11828a0a27748
12355ba715790
1317265c55962
14a514334272
15588377da56
hex31daf1eb1c

214126684956 has 72 divisors (see below), whose sum is σ = 569908357200. Its totient is φ = 67600431360.

The previous prime is 214126684931. The next prime is 214126684963. The reversal of 214126684956 is 659486621412.

It is a happy number.

214126684956 is a `hidden beast` number, since 2 + 1 + 412 + 66 + 84 + 95 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2572600 + ... + 2654528.

It is an arithmetic number, because the mean of its divisors is an integer number (7915393850).

Almost surely, 2214126684956 is an apocalyptic number.

It is an amenable number.

214126684956 is an abundant number, since it is smaller than the sum of its proper divisors (355781672244).

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

214126684956 is a wasteful number, since it uses less digits than its factorization.

214126684956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85779 (or 85774 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

It can be divided in two parts, 2141266 and 84956, that added together give a palindrome (2226222).

The spelling of 214126684956 in words is "two hundred fourteen billion, one hundred twenty-six million, six hundred eighty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 3821 7642 11463 15284 22926 34389 45852 68778 72599 81929 137556 145198 163858 217797 245787 290396 327716 435594 491574 653391 737361 871188 983148 1306782 1474722 1556651 2613564 2949444 3113302 4669953 6226604 9339906 14009859 18679812 28019718 56039436 313050709 626101418 939152127 1252202836 1878304254 2817456381 3756608508 5634912762 5947963471 11269825524 11895926942 17843890413 23791853884 35687780826 53531671239 71375561652 107063342478 214126684956