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2029992468 = 2237315973181
BaseRepresentation
bin111100011111111…
…0011101000010100
312020110210022011020
41320333303220110
513124134224333
6533233441140
7101206436250
oct17077635024
95213708136
102029992468
11951972429
12487a101b0
13264748a9a
14153865260
15bd3393b3
hex78ff3a14

2029992468 has 192 divisors, whose sum is σ = 5792317440. Its totient is φ = 541209600.

The previous prime is 2029992467. The next prime is 2029992469. The reversal of 2029992468 is 8642999202.

It is an interprime number because it is at equal distance from previous prime (2029992467) and next prime (2029992469).

It is a self number, because there is not a number n which added to its sum of digits gives 2029992468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029992467) 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, 11215338 + ... + 11215518.

It is an arithmetic number, because the mean of its divisors is an integer number (30168320).

Almost surely, 22029992468 is an apocalyptic number.

2029992468 is a gapful number since it is divisible by the number (28) 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 2029992468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896158720).

2029992468 is an abundant number, since it is smaller than the sum of its proper divisors (3762324972).

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

2029992468 is a wasteful number, since it uses less digits than its factorization.

2029992468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2029992468 is about 45055.4377184375. The cubic root of 2029992468 is about 1266.1878510036.

The spelling of 2029992468 in words is "two billion, twenty-nine million, nine hundred ninety-two thousand, four hundred sixty-eight".