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214951721064 = 23341281777391
BaseRepresentation
bin1100100000110000011…
…1101111100001101000
3202112211100120210221020
43020030013233201220
512010210120033224
6242425241212440
721346463324343
oct3101407574150
9675740523836
10214951721064
1183184708573
12357aaa91120
1317367b632c2
14a591b3945a
1558d0dedc79
hex320c1ef868

214951721064 has 64 divisors (see below), whose sum is σ = 552445850880. Its totient is φ = 69654144000.

The previous prime is 214951721057. The next prime is 214951721087. The reversal of 214951721064 is 460127159412.

It is a super-2 number, since 2×2149517210642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112192 + ... + 665199.

It is an arithmetic number, because the mean of its divisors is an integer number (8631966420).

Almost surely, 2214951721064 is an apocalyptic number.

214951721064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214951721064 is an abundant number, since it is smaller than the sum of its proper divisors (337494129816).

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

214951721064 is a wasteful number, since it uses less digits than its factorization.

214951721064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777722 (or 777718 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 214951721064 in words is "two hundred fourteen billion, nine hundred fifty-one million, seven hundred twenty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 281 328 492 562 843 984 1124 1686 2248 3372 6744 11521 23042 34563 46084 69126 92168 138252 276504 777391 1554782 2332173 3109564 4664346 6219128 9328692 18657384 31873031 63746062 95619093 127492124 191238186 218446871 254984248 382476372 436893742 655340613 764952744 873787484 1310681226 1747574968 2621362452 5242724904 8956321711 17912643422 26868965133 35825286844 53737930266 71650573688 107475860532 214951721064