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5474321317400 = 235213192937139743
BaseRepresentation
bin100111110101001011011…
…1110100011111000011000
3201101100011212100121100012
41033222112332203320120
51204142402224124100
615350511332301052
71103335533302615
oct117522676437030
921340155317305
105474321317400
111820712739721
12744b63171788
133092c31c13a0
1414cd5c43750c
15975edcc1135
hex4fa96fa3e18

5474321317400 has 768 divisors, whose sum is σ = 15460260480000. Its totient is φ = 1783558103040.

The previous prime is 5474321317319. The next prime is 5474321317427. The reversal of 5474321317400 is 47131234745.

It is a super-2 number, since 2×54743213174002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7367861429 + ... + 7367862171.

It is an arithmetic number, because the mean of its divisors is an integer number (20130547500).

Almost surely, 25474321317400 is an apocalyptic number.

5474321317400 is a gapful number since it is divisible by the number (50) 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 5474321317400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730130240000).

5474321317400 is an abundant number, since it is smaller than the sum of its proper divisors (9985939162600).

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

5474321317400 is a wasteful number, since it uses less digits than its factorization.

5474321317400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 5474321317400 in words is "five trillion, four hundred seventy-four billion, three hundred twenty-one million, three hundred seventeen thousand, four hundred".