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49376120640 = 26357111494483
BaseRepresentation
bin101101111111000010…
…111100111101000000
311201110002212211000220
4231333002330331000
51302110241330030
634403313343040
73365405046330
oct557702747500
9151402784026
1049376120640
1119a38595280
12969bb67a80
13486b733042
14256592d0c0
15143ec0ba10
hexb7f0bcf40

49376120640 has 448 divisors, whose sum is σ = 196808140800. Its totient is φ = 10188840960.

The previous prime is 49376120627. The next prime is 49376120641. The reversal of 49376120640 is 4602167394.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 49376120592 and 49376120601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49376120641) 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, 11011839 + ... + 11016321.

Almost surely, 249376120640 is an apocalyptic number.

49376120640 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 49376120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98404070400).

49376120640 is an abundant number, since it is smaller than the sum of its proper divisors (147432020160).

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

49376120640 is a wasteful number, since it uses less digits than its factorization.

49376120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 49376120640 in words is "forty-nine billion, three hundred seventy-six million, one hundred twenty thousand, six hundred forty".