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5281264416 = 253234750891
BaseRepresentation
bin1001110101100100…
…11011001100100000
3111122001122000210210
410322302123030200
541304000430131
62232015454120
7244606002231
oct47262331440
914561560723
105281264416
11227015513a
121034827340
136621c993c
14381599088
1520d9b4146
hex13ac9b320

5281264416 has 96 divisors (see below), whose sum is σ = 14774151168. Its totient is φ = 1648021760.

The previous prime is 5281264399. The next prime is 5281264423. The reversal of 5281264416 is 6144621825.

It is a happy number.

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

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, 78331 + ... + 129221.

It is an arithmetic number, because the mean of its divisors is an integer number (153897408).

Almost surely, 25281264416 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 5281264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387075584).

5281264416 is an abundant number, since it is smaller than the sum of its proper divisors (9492886752).

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

5281264416 is a wasteful number, since it uses less digits than its factorization.

5281264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50974 (or 50966 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 5281264416 is about 72672.3084537708. The cubic root of 5281264416 is about 1741.4565264940.

The spelling of 5281264416 in words is "five billion, two hundred eighty-one million, two hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 138 141 184 188 276 282 368 376 552 564 736 752 1081 1104 1128 1504 2162 2208 2256 3243 4324 4512 6486 8648 12972 17296 25944 34592 50891 51888 101782 103776 152673 203564 305346 407128 610692 814256 1170493 1221384 1628512 2340986 2391877 2442768 3511479 4681972 4783754 4885536 7022958 7175631 9363944 9567508 14045916 14351262 18727888 19135016 28091832 28702524 37455776 38270032 55013171 56183664 57405048 76540064 110026342 112367328 114810096 165039513 220052684 229620192 330079026 440105368 660158052 880210736 1320316104 1760421472 2640632208 5281264416