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4996992000 = 210353711132
BaseRepresentation
bin1001010011101100…
…00000110000000000
3110220020201111100210
410221312000300000
540213212221000
62143502514120
7234554505540
oct45166006000
913806644323
104996992000
112134743060
12b75595940
13618347700
1435591b320
151e3a60350
hex129d80c00

4996992000 has 1056 divisors, whose sum is σ = 22440098304. Its totient is φ = 958464000.

The previous prime is 4996991981. The next prime is 4996992041. The reversal of 4996992000 is 2996994.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384383994 + ... + 384384006.

Almost surely, 24996992000 is an apocalyptic number.

4996992000 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 4996992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220049152).

4996992000 is an abundant number, since it is smaller than the sum of its proper divisors (17443106304).

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

4996992000 is a wasteful number, since it uses less digits than its factorization.

4996992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 4996992000 is about 70689.4051467403. The cubic root of 4996992000 is about 1709.6329707129.

The spelling of 4996992000 in words is "four billion, nine hundred ninety-six million, nine hundred ninety-two thousand".