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38410205004340 = 22513147731557709
BaseRepresentation
bin10001011101111000100101…
…01000000000001000110100
312000222222110020011110112221
420232330102220000020310
520013303044440114330
6213405223220052124
711043021454410631
oct1056742250001064
9160888406143487
1038410205004340
1111269749411474
1243841a3b34044
1318580b3978c40
1496b0c7277188
1546920e4dcb7a
hex22ef12a00234

38410205004340 has 24 divisors (see below), whose sum is σ = 86866155933480. Its totient is φ = 14182229539968.

The previous prime is 38410205004331. The next prime is 38410205004383. The reversal of 38410205004340 is 4340050201483.

It can be written as a sum of positive squares in 4 ways, for example, as 1837851994276 + 36572353010064 = 1355674^2 + 6047508^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38410205004296 and 38410205004305.

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 7 ways as a sum of consecutive naturals, for example, 73865778595 + ... + 73865779114.

It is an arithmetic number, because the mean of its divisors is an integer number (3619423163895).

Almost surely, 238410205004340 is an apocalyptic number.

It is an amenable number.

38410205004340 is an abundant number, since it is smaller than the sum of its proper divisors (48455950929140).

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

38410205004340 is a wasteful number, since it uses less digits than its factorization.

38410205004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147731557731 (or 147731557729 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 38410205004340 in words is "thirty-eight trillion, four hundred ten billion, two hundred five million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 147731557709 295463115418 590926230836 738657788545 1477315577090 1920510250217 2954631154180 3841020500434 7682041000868 9602551251085 19205102502170 38410205004340