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648160916317 = 4123037126961
BaseRepresentation
bin10010110111010010110…
…01101011001101011101
32021222000110010002120121
421123221121223031131
541104413143310232
61213432213514541
764554013612525
oct11335131531535
92258013102517
10648160916317
1122a979a37882
12a574b942a51
13491766a4725
142352a646685
1511cd8038d97
hex96e966b35d

648160916317 has 12 divisors (see below), whose sum is σ = 664579287988. Its totient is φ = 632138918400.

The previous prime is 648160916281. The next prime is 648160916321. The reversal of 648160916317 is 713619061846.

It can be written as a sum of positive squares in 6 ways, for example, as 306565081 + 647854351236 = 17509^2 + 804894^2 .

It is a de Polignac number, because none of the positive numbers 2k-648160916317 is a prime.

It is a super-2 number, since 2×6481609163172 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648160911317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5041717 + ... + 5168677.

Almost surely, 2648160916317 is an apocalyptic number.

It is an amenable number.

648160916317 is a deficient number, since it is larger than the sum of its proper divisors (16418371671).

648160916317 is a wasteful number, since it uses less digits than its factorization.

648160916317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130080 (or 130039 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 648160916317 in words is "six hundred forty-eight billion, one hundred sixty million, nine hundred sixteen thousand, three hundred seventeen".

Divisors: 1 41 1681 3037 124517 126961 5105197 5205401 213421441 385580557 15808802837 648160916317