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5016600096 = 253195351893
BaseRepresentation
bin1001010110000001…
…10011111000100000
3110221121121200121120
410223000303320200
540233222200341
62145443052240
7235213253154
oct45300637040
913847550546
105016600096
1121448159a2
12b80071080
1361c421631
14358383064
151e5635066
hex12b033e20

5016600096 has 96 divisors (see below), whose sum is σ = 14123471040. Its totient is φ = 1554269184.

The previous prime is 5016600073. The next prime is 5016600097. The reversal of 5016600096 is 6900066105.

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

It is not an unprimeable number, because it can be changed into a prime (5016600097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70726 + ... + 122618.

It is an arithmetic number, because the mean of its divisors is an integer number (147119490).

Almost surely, 25016600096 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 5016600096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061735520).

5016600096 is an abundant number, since it is smaller than the sum of its proper divisors (9106870944).

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

5016600096 is a wasteful number, since it uses less digits than its factorization.

5016600096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51978 (or 51970 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 5016600096 is about 70827.9612582488. The cubic root of 5016600096 is about 1711.8662406050.

The spelling of 5016600096 in words is "five billion, sixteen million, six hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 76 96 106 114 152 159 212 228 304 318 424 456 608 636 848 912 1007 1272 1696 1824 2014 2544 3021 4028 5088 6042 8056 12084 16112 24168 32224 48336 51893 96672 103786 155679 207572 311358 415144 622716 830288 985967 1245432 1660576 1971934 2490864 2750329 2957901 3943868 4981728 5500658 5915802 7887736 8250987 11001316 11831604 15775472 16501974 22002632 23663208 31550944 33003948 44005264 47326416 52256251 66007896 88010528 94652832 104512502 132015792 156768753 209025004 264031584 313537506 418050008 627075012 836100016 1254150024 1672200032 2508300048 5016600096