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32503752138 = 231113101337397
BaseRepresentation
bin11110010001010111…
…111110010111001010
310002220020112200121210
4132101113332113022
51013031430032023
622533152113550
72230321222524
oct362127762712
9102806480553
1032503752138
111286a580080
1263715358b6
1330b0009340
141804b94a14
15ca3846593
hex7915fe5ca

32503752138 has 64 divisors (see below), whose sum is σ = 76449889152. Its totient is φ = 9082740480.

The previous prime is 32503752103. The next prime is 32503752173. The reversal of 32503752138 is 83125730523.

It is an interprime number because it is at equal distance from previous prime (32503752103) and next prime (32503752173).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 32503752096 and 32503752105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850456 + ... + 887852.

It is an arithmetic number, because the mean of its divisors is an integer number (1194529518).

Almost surely, 232503752138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32503752138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38224944576).

32503752138 is an abundant number, since it is smaller than the sum of its proper divisors (43946137014).

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

32503752138 is a wasteful number, since it uses less digits than its factorization.

32503752138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38439.

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 32503752138 in words is "thirty-two billion, five hundred three million, seven hundred fifty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1013 2026 3039 6078 11143 13169 22286 26338 33429 37397 39507 66858 74794 79014 112191 144859 224382 289718 411367 434577 486161 822734 869154 972322 1234101 1458483 2468202 2916966 5347771 10695542 16043313 32086626 37883161 75766322 113649483 227298966 416714771 492481093 833429542 984962186 1250144313 1477443279 2500288626 2954886558 5417292023 10834584046 16251876069 32503752138