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6416920768 = 261913140283
BaseRepresentation
bin1011111100111101…
…00111000011000000
3121120012120100110011
411332132213003000
5101120212431033
62540424514304
7315005632546
oct57636470300
917505510404
106416920768
1127a3203605
1212b101b994
137b358304b
1444c339d96
1527853eccd
hex17e7a70c0

6416920768 has 56 divisors (see below), whose sum is σ = 13506419520. Its totient is φ = 3016316160.

The previous prime is 6416920747. The next prime is 6416920789. The reversal of 6416920768 is 8670296146.

It is an interprime number because it is at equal distance from previous prime (6416920747) and next prime (6416920789).

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, 139155 + ... + 179437.

Almost surely, 26416920768 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 6416920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753209760).

6416920768 is an abundant number, since it is smaller than the sum of its proper divisors (7089498752).

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

6416920768 is a wasteful number, since it uses less digits than its factorization.

6416920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40445 (or 40435 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 6416920768 is about 80105.6849917657. The cubic root of 6416920768 is about 1858.2703278917.

The spelling of 6416920768 in words is "six billion, four hundred sixteen million, nine hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 131 152 262 304 524 608 1048 1216 2096 2489 4192 4978 8384 9956 19912 39824 40283 79648 80566 159296 161132 322264 644528 765377 1289056 1530754 2578112 3061508 5277073 6123016 10554146 12246032 21108292 24492064 42216584 48984128 84433168 100264387 168866336 200528774 337732672 401057548 802115096 1604230192 3208460384 6416920768