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5356961280 = 293251123919
BaseRepresentation
bin1001111110100110…
…01011111000000000
3111211100001211101100
410333103023320000
541432340230110
62243322134400
7246515263626
oct47723137000
914740054340
105356961280
1122a9957330
121056051400
13674ab1498
1438b661516
15215467bc0
hex13f4cbe00

5356961280 has 480 divisors, whose sum is σ = 21142218240. Its totient is φ = 1240842240.

The previous prime is 5356961261. The next prime is 5356961339. The reversal of 5356961280 is 821696535.

5356961280 is a `hidden beast` number, since 5 + 3 + 569 + 6 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5828661 + ... + 5829579.

It is an arithmetic number, because the mean of its divisors is an integer number (44046288).

Almost surely, 25356961280 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 5356961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10571109120).

5356961280 is an abundant number, since it is smaller than the sum of its proper divisors (15785256960).

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

5356961280 is a wasteful number, since it uses less digits than its factorization.

5356961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5356961280 is about 73191.2650526004. The cubic root of 5356961280 is about 1749.7372427266.

The spelling of 5356961280 in words is "five billion, three hundred fifty-six million, nine hundred sixty-one thousand, two hundred eighty".