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38479143420 = 22335137520129
BaseRepresentation
bin100011110101100010…
…010010000111111100
310200022200022000111000
4203311202102013330
51112301130042140
625402125330300
72531356215414
oct436542220774
9120280260430
1038479143420
1115356522a83
12755a706990
133822c6a023
141c105d9644
15100321ca30
hex8f58921fc

38479143420 has 96 divisors (see below), whose sum is σ = 120586939200. Its totient is φ = 10186186752.

The previous prime is 38479143403. The next prime is 38479143427. The reversal of 38479143420 is 2434197483.

38479143420 is a `hidden beast` number, since 3 + 84 + 7 + 9 + 143 + 420 = 666.

38479143420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38479143427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186085 + ... + 334044.

It is an arithmetic number, because the mean of its divisors is an integer number (1256113950).

Almost surely, 238479143420 is an apocalyptic number.

38479143420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38479143420 is an abundant number, since it is smaller than the sum of its proper divisors (82107795780).

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

38479143420 is a wasteful number, since it uses less digits than its factorization.

38479143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520284 (or 520276 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 38479143420 in words is "thirty-eight billion, four hundred seventy-nine million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 12330 14796 18495 24660 36990 73980 520129 1040258 1560387 2080516 2600645 3120774 4681161 5201290 6241548 7801935 9362322 10402580 14043483 15603870 18724644 23405805 28086966 31207740 46811610 56173932 70217415 71257673 93623220 140434830 142515346 213773019 280869660 285030692 356288365 427546038 641319057 712576730 855092076 1068865095 1282638114 1425153460 1923957171 2137730190 2565276228 3206595285 3847914342 4275460380 6413190570 7695828684 9619785855 12826381140 19239571710 38479143420