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4987295439360 = 293513442111299
BaseRepresentation
bin100100010010011000111…
…1110010001101000000000
3122122210002012020120120020
41020210301332101220000
51123202440113024420
614335044253413440
71023214554530553
oct110446176215000
918583065216506
104987295439360
111653111291073
126866a319a280
132a23b8c84570
1413355a36469a
1589ae71cc340
hex48931f91a00

4987295439360 has 320 divisors, whose sum is σ = 17175606940800. Its totient is φ = 1227255644160.

The previous prime is 4987295439353. The next prime is 4987295439361. The reversal of 4987295439360 is 639345927894.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×49872954393602 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4987295439361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441386991 + ... + 441398289.

It is an arithmetic number, because the mean of its divisors is an integer number (53673771690).

Almost surely, 24987295439360 is an apocalyptic number.

4987295439360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4987295439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587803470400).

4987295439360 is an abundant number, since it is smaller than the sum of its proper divisors (12188311501440).

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

4987295439360 is a wasteful number, since it uses less digits than its factorization.

4987295439360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15759 (or 15743 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 4987295439360 in words is "four trillion, nine hundred eighty-seven billion, two hundred ninety-five million, four hundred thirty-nine thousand, three hundred sixty".