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49260347136 = 28327111323153
BaseRepresentation
bin101101111000001001…
…010011111100000000
311201011001000220122100
4231320021103330000
51301341122102021
634344020110400
73362501020260
oct557011237400
9151131026570
1049260347136
11199891aa9a0
129669235400
134850758b00
1425543d37a0
15143498d626
hexb78253f00

49260347136 has 1296 divisors, whose sum is σ = 201664899072. Its totient is φ = 11214028800.

The previous prime is 49260347119. The next prime is 49260347137. The reversal of 49260347136 is 63174306294.

49260347136 is a `hidden beast` number, since 4 + 9 + 2 + 603 + 4 + 7 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49260347091 and 49260347100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49260347137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 929440486 + ... + 929440538.

It is an arithmetic number, because the mean of its divisors is an integer number (155605632).

Almost surely, 249260347136 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 49260347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100832449536).

49260347136 is an abundant number, since it is smaller than the sum of its proper divisors (152404551936).

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

49260347136 is a wasteful number, since it uses less digits than its factorization.

49260347136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 49260347136 in words is "forty-nine billion, two hundred sixty million, three hundred forty-seven thousand, one hundred thirty-six".