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5924138220 = 22325731121361
BaseRepresentation
bin1011000010001101…
…10010110011101100
3120021212022101212200
411201012302303230
544113034410340
62415502501500
7266543226000
oct54106626354
916255271780
105924138220
112570026800
121193b94890
13735457140
14402b02700
1524a150330
hex1611b2cec

5924138220 has 864 divisors, whose sum is σ = 25212969600. Its totient is φ = 1117670400.

The previous prime is 5924138219. The next prime is 5924138243. The reversal of 5924138220 is 228314295.

It is a happy number.

5924138220 is a `hidden beast` number, since 592 + 41 + 3 + 8 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 97116990 + ... + 97117050.

Almost surely, 25924138220 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 5924138220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606484800).

5924138220 is an abundant number, since it is smaller than the sum of its proper divisors (19288831380).

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

5924138220 is a wasteful number, since it uses less digits than its factorization.

5924138220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5924138220 is about 76968.4235254952. The cubic root of 5924138220 is about 1809.4297543275.

It can be divided in two parts, 59241 and 38220, that added together give a triangular number (97461 = T441).

The spelling of 5924138220 in words is "five billion, nine hundred twenty-four million, one hundred thirty-eight thousand, two hundred twenty".