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49938481152 = 21433716127
BaseRepresentation
bin101110100000100100…
…001100000000000000
311202220022001200122000
4232200210030000000
51304233222344102
634535202544000
73415344041340
oct564044140000
9152808050560
1049938481152
111a1a6a7502a
129818368000
13492b0b0641
1425ba4b8d20
15147429201c
hexba090c000

49938481152 has 240 divisors, whose sum is σ = 169109176320. Its totient is φ = 14267252736.

The previous prime is 49938481141. The next prime is 49938481213. The reversal of 49938481152 is 25118483994.

It is a happy number.

49938481152 is a `hidden beast` number, since 4 + 9 + 9 + 3 + 8 + 481 + 152 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3088513 + ... + 3104639.

It is an arithmetic number, because the mean of its divisors is an integer number (704621568).

Almost surely, 249938481152 is an apocalyptic number.

49938481152 is a gapful number since it is divisible by the number (42) 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 49938481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84554588160).

49938481152 is an abundant number, since it is smaller than the sum of its proper divisors (119170695168).

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

49938481152 is an equidigital number, since it uses as much as digits as its factorization.

49938481152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16171 (or 16139 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 49938481152 in words is "forty-nine billion, nine hundred thirty-eight million, four hundred eighty-one thousand, one hundred fifty-two".