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5629972992 = 293721931127
BaseRepresentation
bin1010011111001001…
…01001001000000000
3112112100210021001020
411033210221020000
543012233113432
62330353505440
7256341660300
oct51744511000
915470707036
105629972992
112429a78046
121111572280
136b9520087
143b5a0b600
1522e3e522c
hex14f929200

5629972992 has 480 divisors, whose sum is σ = 19107348480. Its totient is φ = 1463132160.

The previous prime is 5629972991. The next prime is 5629973131. The reversal of 5629972992 is 2992799265.

It is a happy number.

Its product of digits (11022480) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5629972991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44330433 + ... + 44330559.

It is an arithmetic number, because the mean of its divisors is an integer number (39806976).

Almost surely, 25629972992 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 5629972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553674240).

5629972992 is an abundant number, since it is smaller than the sum of its proper divisors (13477375488).

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

5629972992 is a wasteful number, since it uses less digits than its factorization.

5629972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 60.

The square root of 5629972992 is about 75033.1459556375. The cubic root of 5629972992 is about 1778.9705986690.

The spelling of 5629972992 in words is "five billion, six hundred twenty-nine million, nine hundred seventy-two thousand, nine hundred ninety-two".