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4645212480 = 263252323049
BaseRepresentation
bin1000101001110000…
…00101000101000000
3102222201210020120200
410110320011011000
534003133244410
62044535005200
7223053440346
oct42470050500
912881706520
104645212480
111a74112987
12a97809800
135904ba54c
14320d09996
151c2c243c0
hex114e05140

4645212480 has 252 divisors, whose sum is σ = 16707954900. Its totient is φ = 1184477184.

The previous prime is 4645212469. The next prime is 4645212487. The reversal of 4645212480 is 842125464.

4645212480 is a `hidden beast` number, since 4 + 6 + 452 + 124 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1025024256 + 3620188224 = 32016^2 + 60168^2 .

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 (4645212487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1521996 + ... + 1525044.

Almost surely, 24645212480 is an apocalyptic number.

4645212480 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 4645212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353977450).

4645212480 is an abundant number, since it is smaller than the sum of its proper divisors (12062742420).

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

4645212480 is a wasteful number, since it uses less digits than its factorization.

4645212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4645212480 is about 68155.7956449780. The cubic root of 4645212480 is about 1668.5345146155.

The spelling of 4645212480 in words is "four billion, six hundred forty-five million, two hundred twelve thousand, four hundred eighty".