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68462957568 = 210371313889
BaseRepresentation
bin111111110000101101…
…011101010000000000
320112201022010121001010
4333300231131100000
52110203004120233
651241302440520
74642401352245
oct776055352000
9215638117033
1068462957568
1127042611375
1211328133140
1365c0b85aa5
14345682d5cc
151baa6eab63
hexff0b5d400

68462957568 has 88 divisors (see below), whose sum is σ = 185049455040. Its totient is φ = 22499491840.

The previous prime is 68462957543. The next prime is 68462957573. The reversal of 68462957568 is 86575926486.

It is a junction number, because it is equal to n+sod(n) for n = 68462957499 and 68462957508.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 61168 + ... + 375056.

Almost surely, 268462957568 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 68462957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92524727520).

68462957568 is an abundant number, since it is smaller than the sum of its proper divisors (116586497472).

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

68462957568 is a wasteful number, since it uses less digits than its factorization.

68462957568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313983 (or 313965 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 66.

The spelling of 68462957568 in words is "sixty-eight billion, four hundred sixty-two million, nine hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1024 1136 1536 1704 2272 3072 3408 4544 6816 9088 13632 18176 27264 36352 54528 72704 109056 218112 313889 627778 941667 1255556 1883334 2511112 3766668 5022224 7533336 10044448 15066672 20088896 22286119 30133344 40177792 44572238 60266688 66858357 80355584 89144476 120533376 133716714 160711168 178288952 241066752 267433428 321422336 356577904 482133504 534866856 713155808 964267008 1069733712 1426311616 2139467424 2852623232 4278934848 5705246464 8557869696 11410492928 17115739392 22820985856 34231478784 68462957568