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4970861280 = 25325711127353
BaseRepresentation
bin1001010000100100…
…10101001011100000
3110211102112220202100
410220102111023200
540140020030110
62141130450400
7234116423640
oct45022251340
913742486670
104970861280
112120a15720
12b68893a00
13612ac8948
14352278520
151e15ecbc0
hex1284952e0

4970861280 has 576 divisors, whose sum is σ = 21375664128. Its totient is φ = 1021870080.

The previous prime is 4970861257. The next prime is 4970861317. The reversal of 4970861280 is 821680794.

4970861280 is a `hidden beast` number, since 497 + 0 + 86 + 1 + 2 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 14081584 + ... + 14081936.

It is an arithmetic number, because the mean of its divisors is an integer number (37110528).

Almost surely, 24970861280 is an apocalyptic number.

4970861280 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 4970861280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687832064).

4970861280 is an abundant number, since it is smaller than the sum of its proper divisors (16404802848).

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

4970861280 is a wasteful number, since it uses less digits than its factorization.

4970861280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4970861280 is about 70504.3351858593. The cubic root of 4970861280 is about 1706.6477055456.

The spelling of 4970861280 in words is "four billion, nine hundred seventy million, eight hundred sixty-one thousand, two hundred eighty".