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5001340656 = 2431310937333
BaseRepresentation
bin1001010100001101…
…00110011011110000
3110220112220102121010
410222012212123300
540220320400111
62144140030520
7234636460044
oct45206463360
913815812533
105001340656
112137143294
12b76b32440
1361920ab90
14356330024
151e411daa6
hex12a1a66f0

5001340656 has 80 divisors (see below), whose sum is σ = 13928615456. Its totient is φ = 1537256448.

The previous prime is 5001340637. The next prime is 5001340657. The reversal of 5001340656 is 6560431005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5001340657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678366 + ... + 685698.

Almost surely, 25001340656 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 5001340656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964307728).

5001340656 is an abundant number, since it is smaller than the sum of its proper divisors (8927274800).

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

5001340656 is a wasteful number, since it uses less digits than its factorization.

5001340656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5001340656 is about 70720.1573527661. The cubic root of 5001340656 is about 1710.1287656532.

The spelling of 5001340656 in words is "five billion, one million, three hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1093 2186 3279 4372 6558 7333 8744 13116 14209 14666 17488 21999 26232 28418 29332 42627 43998 52464 56836 58664 85254 87996 95329 113672 117328 170508 175992 190658 227344 285987 341016 351984 381316 571974 682032 762632 1143948 1525264 2287896 4575792 8014969 16029938 24044907 32059876 48089814 64119752 96179628 104194597 128239504 192359256 208389194 312583791 384718512 416778388 625167582 833556776 1250335164 1667113552 2500670328 5001340656