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5065466976 = 25339376257
BaseRepresentation
bin1001011011110110…
…01110010001100000
3111002000120101101000
410231323032101200
540333224420401
62154350312000
7236345521203
oct45573162140
914060511330
105065466976
11216a362349
12b944b8600
136295a104b
14360a6393a
151e9a89186
hex12dece460

5065466976 has 96 divisors (see below), whose sum is σ = 14792410080. Its totient is φ = 1686417408.

The previous prime is 5065466969. The next prime is 5065466983. The reversal of 5065466976 is 6796645605.

5065466976 is a `hidden beast` number, since 5 + 0 + 6 + 546 + 6 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5065466969) and next prime (5065466983).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806440 + ... + 812696.

It is an arithmetic number, because the mean of its divisors is an integer number (154087605).

Almost surely, 25065466976 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 5065466976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396205040).

5065466976 is an abundant number, since it is smaller than the sum of its proper divisors (9726943104).

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

5065466976 is a wasteful number, since it uses less digits than its factorization.

5065466976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The square root of 5065466976 is about 71172.0940818802. The cubic root of 5065466976 is about 1717.4067392773.

The spelling of 5065466976 in words is "five billion, sixty-five million, four hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 937 1874 2811 3748 5622 6257 7496 8433 11244 12514 14992 16866 18771 22488 25028 25299 29984 33732 37542 44976 50056 50598 56313 67464 75084 89952 100112 101196 112626 134928 150168 168939 200224 202392 225252 269856 300336 337878 404784 450504 600672 675756 809568 901008 1351512 1802016 2703024 5406048 5862809 11725618 17588427 23451236 35176854 46902472 52765281 70353708 93804944 105530562 140707416 158295843 187609888 211061124 281414832 316591686 422122248 562829664 633183372 844244496 1266366744 1688488992 2532733488 5065466976