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214561685394 = 23272277878221
BaseRepresentation
bin1100011111010011011…
…1110111111110010010
3202111211011122221120200
43013310313313332102
512003410242413034
6242322425320030
721334016143200
oct3076467677622
9674734587520
10214561685394
1182aa4528a41
1235700336016
1317305100274
14a55600a070
1558aba57a99
hex31f4df7f92

214561685394 has 72 divisors (see below), whose sum is σ = 542735926668. Its totient is φ = 61081957440.

The previous prime is 214561685389. The next prime is 214561685441. The reversal of 214561685394 is 493586165412.

214561685394 is a `hidden beast` number, since 2 + 1 + 45 + 6 + 1 + 68 + 539 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 206763912369 + 7797773025 = 454713^2 + 88305^2 .

It is a super-2 number, since 2×2145616853942 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214561685394.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194797 + ... + 683424.

Almost surely, 2214561685394 is an apocalyptic number.

214561685394 is an abundant number, since it is smaller than the sum of its proper divisors (328174241274).

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

214561685394 is a wasteful number, since it uses less digits than its factorization.

214561685394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878520 (or 878510 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 214561685394 in words is "two hundred fourteen billion, five hundred sixty-one million, six hundred eighty-five thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 277 294 441 554 831 882 1662 1939 2493 3878 4986 5817 11634 13573 17451 27146 34902 40719 81438 122157 244314 878221 1756442 2634663 5269326 6147547 7903989 12295094 15807978 18442641 36885282 43032829 55327923 86065658 110655846 129098487 243267217 258196974 387295461 486534434 729801651 774590922 1459603302 1702870519 2189404953 3405741038 4378809906 5108611557 10217223114 11920093633 15325834671 23840187266 30651669342 35760280899 71520561798 107280842697 214561685394