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4745796480 = 27345432129
BaseRepresentation
bin1000110101101111…
…10001101110000000
3110020202001102220000
410122313301232000
534204410441410
62102530520000
7225414414225
oct43267615600
913222042800
104745796480
112015973157
12b05436000
135a82a6ac9
1433040d94c
151cb991dc0
hex11adf1b80

4745796480 has 320 divisors, whose sum is σ = 17350383600. Its totient is φ = 1235533824.

The previous prime is 4745796463. The next prime is 4745796491. The reversal of 4745796480 is 846975474.

4745796480 is a `hidden beast` number, since 4 + 7 + 4 + 579 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2228056 + ... + 2230184.

Almost surely, 24745796480 is an apocalyptic number.

4745796480 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 4745796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675191800).

4745796480 is an abundant number, since it is smaller than the sum of its proper divisors (12604587120).

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

4745796480 is a wasteful number, since it uses less digits than its factorization.

4745796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 4745796480 is about 68889.7414714266. The cubic root of 4745796480 is about 1680.4916928148.

The spelling of 4745796480 in words is "four billion, seven hundred forty-five million, seven hundred ninety-six thousand, four hundred eighty".