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214555265664 = 2732083268237
BaseRepresentation
bin1100011111010001111…
…1011000101010000000
3202111210201120210100220
43013310133120222000
512003402122000124
6242322035543040
721333610444605
oct3076437305200
9674721523326
10214555265664
1182aa0943783
12356ba15aa80
13173039931cc
14a5552186ac
1558ab1da879
hex31f47d8a80

214555265664 has 64 divisors (see below), whose sum is σ = 570188151840. Its totient is φ = 71483821056.

The previous prime is 214555265629. The next prime is 214555265689. The reversal of 214555265664 is 466562555412.

214555265664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 665754 + ... + 933990.

Almost surely, 2214555265664 is an apocalyptic number.

214555265664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214555265664 is an abundant number, since it is smaller than the sum of its proper divisors (355632886176).

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

214555265664 is a wasteful number, since it uses less digits than its factorization.

214555265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270337 (or 270325 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 51.

The spelling of 214555265664 in words is "two hundred fourteen billion, five hundred fifty-five million, two hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2083 4166 6249 8332 12498 16664 24996 33328 49992 66656 99984 133312 199968 266624 268237 399936 536474 799872 804711 1072948 1609422 2145896 3218844 4291792 6437688 8583584 12875376 17167168 25750752 34334336 51501504 103003008 558737671 1117475342 1676213013 2234950684 3352426026 4469901368 6704852052 8939802736 13409704104 17879605472 26819408208 35759210944 53638816416 71518421888 107277632832 214555265664