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214126097955 = 35711414521721
BaseRepresentation
bin1100011101101011101…
…0001111011000100011
3202110200211000210221120
43013122322033120203
512002012240113310
6242211305223323
721320146542030
oct3073272173043
9673624023846
10214126097955
11828a0666720
12355ba491b43
1317265aab713
14a514220387
1558836b4b70
hex31dae8f623

214126097955 has 64 divisors (see below), whose sum is σ = 437557994496. Its totient is φ = 86817024000.

The previous prime is 214126097833. The next prime is 214126097959. The reversal of 214126097955 is 559790621412.

It is not a de Polignac number, because 214126097955 - 223 = 214117709347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214126097898 and 214126097907.

It is not an unprimeable number, because it can be changed into a prime (214126097959) 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, 2213506 + ... + 2308215.

It is an arithmetic number, because the mean of its divisors is an integer number (6836843664).

Almost surely, 2214126097955 is an apocalyptic number.

214126097955 is an abundant number, since it is smaller than the sum of its proper divisors (223431896541).

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

214126097955 is a wasteful number, since it uses less digits than its factorization.

214126097955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521788.

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 214126097955 in words is "two hundred fourteen billion, one hundred twenty-six million, ninety-seven thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 41 55 77 105 123 165 205 231 287 385 451 615 861 1155 1353 1435 2255 3157 4305 6765 9471 15785 47355 4521721 13565163 22608605 31652047 49738931 67825815 94956141 149216793 158260235 185390561 248694655 348172517 474780705 556171683 746083965 926952805 1044517551 1297733927 1740862585 2039296171 2780858415 3893201781 5222587755 6117888513 6488669635 10196480855 14275073197 19466008905 30589442565 42825219591 71375365985 214126097955