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4947063744 = 263719238423
BaseRepresentation
bin1001001101101111…
…00011001111000000
3110202202202212200010
410212313203033000
540112422014434
62134520424520
7233410230240
oct44667431700
913682685603
104947063744
112109541237
12b60918140
1360abb5b6c
1434d041b20
151de49b9e9
hex126de33c0

4947063744 has 224 divisors, whose sum is σ = 16432865280. Its totient is φ = 1280683008.

The previous prime is 4947063743. The next prime is 4947063749. The reversal of 4947063744 is 4473607494.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4947063693 and 4947063702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4947063743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583117 + ... + 591539.

Almost surely, 24947063744 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 4947063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216432640).

4947063744 is an abundant number, since it is smaller than the sum of its proper divisors (11485801536).

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

4947063744 is a wasteful number, since it uses less digits than its factorization.

4947063744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The square root of 4947063744 is about 70335.3662391830. The cubic root of 4947063744 is about 1703.9198754452.

The spelling of 4947063744 in words is "four billion, nine hundred forty-seven million, sixty-three thousand, seven hundred forty-four".