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4970069280 = 253551111621
BaseRepresentation
bin1001010000011110…
…10011110100100000
3110211101001200100000
410220033103310200
540134314204110
62141101500000
7234106614621
oct45017236440
913741050300
104970069280
112120524680
12b68571600
136128ac2c7
1435210da48
151e14e31c0
hex1283d3d20

4970069280 has 288 divisors, whose sum is σ = 19189130688. Its totient is φ = 1204761600.

The previous prime is 4970069263. The next prime is 4970069281. The reversal of 4970069280 is 829600794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (4970069281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421870 + ... + 433490.

It is an arithmetic number, because the mean of its divisors is an integer number (66628926).

Almost surely, 24970069280 is an apocalyptic number.

4970069280 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 4970069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594565344).

4970069280 is an abundant number, since it is smaller than the sum of its proper divisors (14219061408).

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

4970069280 is a wasteful number, since it uses less digits than its factorization.

4970069280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4970069280 is about 70498.7182862213. The cubic root of 4970069280 is about 1706.5570615104.

The spelling of 4970069280 in words is "four billion, nine hundred seventy million, sixty-nine thousand, two hundred eighty".