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687223363712 = 2747215592
BaseRepresentation
bin10100000000000011011…
…01000101100010000000
32102200211210000000200112
422000001231011202000
542224413140114322
61243412301410452
7100436015132024
oct12000155054200
92380753000615
10687223363712
112454a4744756
12b1231869a28
134ca60442a22
14253944c0384
1512d225775e2
hexa001b45880

687223363712 has 72 divisors (see below), whose sum is σ = 1399724716935. Its totient is φ = 336085079296.

The previous prime is 687223363669. The next prime is 687223363721. The reversal of 687223363712 is 217363322786.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 343611681856 + 343611681856 = 586184^2 + 586184^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=586184.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 440809589 + ... + 440811147.

Almost surely, 2687223363712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687223363712

687223363712 is an abundant number, since it is smaller than the sum of its proper divisors (712501353223).

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

687223363712 is an frugal number, since it uses more digits than its factorization.

687223363712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 1608 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 50.

Multiplying 687223363712 by its sum of digits (50), we get a square (34361168185600 = 58618402).

The spelling of 687223363712 in words is "six hundred eighty-seven billion, two hundred twenty-three million, three hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 1559 2209 3008 3118 4418 6016 6236 8836 12472 17672 24944 35344 49888 70688 73273 99776 141376 146546 199552 282752 293092 586184 1172368 2344736 2430481 3443831 4689472 4860962 6887662 9378944 9721924 13775324 19443848 27550648 38887696 55101296 77775392 110202592 114232607 155550784 220405184 228465214 311101568 440810368 456930428 913860856 1827721712 3655443424 5368932529 7310886848 10737865058 14621773696 21475730116 42951460232 85902920464 171805840928 343611681856 687223363712