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4780231632 = 24331117471259
BaseRepresentation
bin1000111001110110…
…01000101111010000
3110100010211221001000
410130323020233100
534242214403012
62110200542000
7226313204241
oct43473105720
913303757030
104780231632
112033352860
12b14a81900
135b2472737
14334c14cc8
151ce9e4ddc
hex11cec8bd0

4780231632 has 320 divisors, whose sum is σ = 16198963200. Its totient is φ = 1333278720.

The previous prime is 4780231627. The next prime is 4780231637. The reversal of 4780231632 is 2361320874.

It is a happy number.

4780231632 is a `hidden beast` number, since 478 + 0 + 23 + 163 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4780231627) and next prime (4780231637).

It is a super-2 number, since 2×47802316322 = 45701228911146766848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4780231637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3796219 + ... + 3797477.

It is an arithmetic number, because the mean of its divisors is an integer number (50621760).

Almost surely, 24780231632 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 4780231632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099481600).

4780231632 is an abundant number, since it is smaller than the sum of its proper divisors (11418731568).

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

4780231632 is a wasteful number, since it uses less digits than its factorization.

4780231632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4780231632 is about 69139.2192029965. The cubic root of 4780231632 is about 1684.5464099132.

The spelling of 4780231632 in words is "four billion, seven hundred eighty million, two hundred thirty-one thousand, six hundred thirty-two".