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38679500142 = 2328332577949
BaseRepresentation
bin100100000001011110…
…100101010101101110
310200211122022012020100
4210001132211111232
51113203423001032
625434043531530
72536341216663
oct440136452556
9120748265210
1038679500142
1115449629a48
1275b5829ba6
13385561a7ba
141c2d071a6a
151015ae797c
hex9017a556e

38679500142 has 48 divisors (see below), whose sum is σ = 84852003600. Its totient is φ = 12732314496.

The previous prime is 38679500129. The next prime is 38679500221. The reversal of 38679500142 is 24100597683.

38679500142 is a `hidden beast` number, since 38 + 6 + 79 + 500 + 1 + 42 = 666.

It is a super-2 number, since 2×386795001422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4861984 + ... + 4869932.

It is an arithmetic number, because the mean of its divisors is an integer number (1767750075).

It is a 1-persistent number, because it is pandigital, but 2⋅38679500142 = 77359000284 is not.

Almost surely, 238679500142 is an apocalyptic number.

38679500142 is an abundant number, since it is smaller than the sum of its proper divisors (46172503458).

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

38679500142 is a wasteful number, since it uses less digits than its factorization.

38679500142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38679500142 in words is "thirty-eight billion, six hundred seventy-nine million, five hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 1494 3257 6514 7949 9771 15898 19542 23847 29313 47694 58626 71541 143082 270331 540662 659767 810993 1319534 1621986 1979301 2432979 3958602 4865958 5937903 11875806 25889893 51779786 77669679 155339358 233009037 466018074 2148861119 4297722238 6446583357 12893166714 19339750071 38679500142