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4956227136 = 263372971199
BaseRepresentation
bin1001001110110101…
…00000011001000000
3110210102000102111000
410213122200121000
540122243232021
62135445052000
7233551143540
oct44732403100
913712012430
104956227136
11211372a893
12b639b7000
1360ca739a3
14350349320
151e01abb26
hex1276a0640

4956227136 has 448 divisors, whose sum is σ = 17556480000. Its totient is φ = 1341204480.

The previous prime is 4956227119. The next prime is 4956227137. The reversal of 4956227136 is 6317226594.

4956227136 is a `hidden beast` number, since 4 + 9 + 5 + 622 + 7 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 4956227091 and 4956227100.

It is not an unprimeable number, because it can be changed into a prime (4956227137) 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, 24905565 + ... + 24905763.

Almost surely, 24956227136 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 4956227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240000).

4956227136 is an abundant number, since it is smaller than the sum of its proper divisors (12600252864).

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

4956227136 is a wasteful number, since it uses less digits than its factorization.

4956227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 4956227136 is about 70400.4768165671. The cubic root of 4956227136 is about 1704.9712772543.

The spelling of 4956227136 in words is "four billion, nine hundred fifty-six million, two hundred twenty-seven thousand, one hundred thirty-six".