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49253319360 = 263257171371049
BaseRepresentation
bin101101110111101110…
…100000001011000000
311201010112210212100100
4231313232200023000
51301332322204420
634343205322400
73362354210160
oct556756401300
9151115725310
1049253319360
111998523a913
129666a06400
13484c16806b
1425534c45a0
151434051190
hexb77ba02c0

49253319360 has 672 divisors, whose sum is σ = 206694633600. Its totient is φ = 10508304384.

The previous prime is 49253319359. The next prime is 49253319361. The reversal of 49253319360 is 6391335294.

49253319360 is a `hidden beast` number, since 4 + 9 + 253 + 31 + 9 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (49253319359) and next prime (49253319361).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49253319361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46952116 + ... + 46953164.

It is an arithmetic number, because the mean of its divisors is an integer number (307581300).

Almost surely, 249253319360 is an apocalyptic number.

49253319360 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 49253319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103347316800).

49253319360 is an abundant number, since it is smaller than the sum of its proper divisors (157441314240).

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

49253319360 is a wasteful number, since it uses less digits than its factorization.

49253319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 49253319360 in words is "forty-nine billion, two hundred fifty-three million, three hundred nineteen thousand, three hundred sixty".