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4969356480 = 263451129601
BaseRepresentation
bin1001010000011001…
…00101110011000000
3110211022201110120000
410220030211303000
540134123401410
62141034320000
7234100555524
oct45014456300
913738643500
104969356480
112120088090
12b68289000
136126bca2a
14351da5d84
151e1401dc0
hex128325cc0

4969356480 has 560 divisors, whose sum is σ = 19982017440. Its totient is φ = 1161216000.

The previous prime is 4969356467. The next prime is 4969356481. The reversal of 4969356480 is 846539694.

4969356480 is a `hidden beast` number, since 496 + 93 + 5 + 64 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4969356481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8268180 + ... + 8268780.

It is an arithmetic number, because the mean of its divisors is an integer number (35682174).

Almost surely, 24969356480 is an apocalyptic number.

4969356480 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 4969356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991008720).

4969356480 is an abundant number, since it is smaller than the sum of its proper divisors (15012660960).

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

4969356480 is a wasteful number, since it uses less digits than its factorization.

4969356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 4969356480 is about 70493.6626938904. The cubic root of 4969356480 is about 1706.4754736449.

The spelling of 4969356480 in words is "four billion, nine hundred sixty-nine million, three hundred fifty-six thousand, four hundred eighty".