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38930442811290 = 2335463311418629
BaseRepresentation
bin10001101101000001100110…
…01101101111011110011010
312002211201021111101021212000
420312200303031233132122
520100314021324430130
6214444222025501430
711125426443664032
oct1066406315573632
9162751244337760
1038930442811290
111144a343063858
124448b92641876
1318951818351c4
1498835a1a68c2
15477a0bbb3260
hex23683336f79a

38930442811290 has 64 divisors (see below), whose sum is σ = 104038735910400. Its totient is φ = 10359029241792.

The previous prime is 38930442811241. The next prime is 38930442811313. The reversal of 38930442811290 is 9211824403983.

38930442811290 is a `hidden beast` number, since 3 + 8 + 9 + 30 + 44 + 281 + 1 + 290 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 155584305 + ... + 155834324.

It is an arithmetic number, because the mean of its divisors is an integer number (1625605248600).

Almost surely, 238930442811290 is an apocalyptic number.

38930442811290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38930442811290 is an abundant number, since it is smaller than the sum of its proper divisors (65108293099110).

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

38930442811290 is a wasteful number, since it uses less digits than its factorization.

38930442811290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311419108 (or 311419102 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 38930442811290 in words is "thirty-eight trillion, nine hundred thirty billion, four hundred forty-two million, eight hundred eleven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 463 926 1389 2315 2778 4167 4630 6945 8334 12501 13890 20835 25002 41670 62505 125010 311418629 622837258 934255887 1557093145 1868511774 2802767661 3114186290 4671279435 5605535322 8408302983 9342558870 14013838305 16816605966 28027676610 42041514915 84083029830 144186825227 288373650454 432560475681 720934126135 865120951362 1297681427043 1441868252270 2162802378405 2595362854086 3893044281129 4325604756810 6488407135215 7786088562258 12976814270430 19465221405645 38930442811290