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216107757 = 3417156941
BaseRepresentation
bin11001110000110…
…00101011101101
3120001122102010000
430320120223231
5420310422012
633235534513
75232612525
oct1470305355
9501572100
10216107757
11100a94a58
126045a439
1335a06c18
14209b6685
1513e8bddc
hexce18aed

216107757 has 20 divisors (see below), whose sum is σ = 341819676. Its totient is φ = 135596160.

The previous prime is 216107743. The next prime is 216107777. The reversal of 216107757 is 757701612.

It can be written as a sum of positive squares in 2 ways, for example, as 138156516 + 77951241 = 11754^2 + 8829^2 .

It is not a de Polignac number, because 216107757 - 26 = 216107693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216107707) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77094 + ... + 79847.

Almost surely, 2216107757 is an apocalyptic number.

216107757 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

216107757 is a deficient number, since it is larger than the sum of its proper divisors (125711919).

216107757 is a wasteful number, since it uses less digits than its factorization.

216107757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156970 (or 156961 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 216107757 is about 14700.6039671845. The cubic root of 216107757 is about 600.0997584128.

The spelling of 216107757 in words is "two hundred sixteen million, one hundred seven thousand, seven hundred fifty-seven".

Divisors: 1 3 9 17 27 51 81 153 459 1377 156941 470823 1412469 2667997 4237407 8003991 12712221 24011973 72035919 216107757