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38401373607705 = 32517201011249727
BaseRepresentation
bin10001011101101000001000…
…01110111001011100011001
312000222010122202100000212200
420232310010032321130121
520013132003120421310
6213401203020400413
711042256556650603
oct1056640416713431
9160863582300780
1038401373607705
1111265a27309469
12438253a3a6109
13185730710c364
1496a8ca3d0173
15468d940179c0
hex22ed043b9719

38401373607705 has 48 divisors (see below), whose sum is σ = 70478447929344. Its totient is φ = 19275810531840.

The previous prime is 38401373607703. The next prime is 38401373607733. The reversal of 38401373607705 is 50770637310483.

38401373607705 is a `hidden beast` number, since 3 + 84 + 0 + 137 + 360 + 7 + 70 + 5 = 666.

It is not a de Polignac number, because 38401373607705 - 21 = 38401373607703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38401373607703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153648552 + ... + 153898278.

It is an arithmetic number, because the mean of its divisors is an integer number (1468300998528).

Almost surely, 238401373607705 is an apocalyptic number.

It is an amenable number.

38401373607705 is a deficient number, since it is larger than the sum of its proper divisors (32077074321639).

38401373607705 is a wasteful number, since it uses less digits than its factorization.

38401373607705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450766 (or 450763 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 38401373607705 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-three million, six hundred seven thousand, seven hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 201011 249727 603033 749181 1005055 1248635 1809099 2247543 3015165 3417187 3745905 4245359 9045495 10251561 11237715 12736077 17085935 21226795 30754683 38208231 51257805 63680385 153773415 191041155 50197873997 150593621991 250989369985 451780865973 752968109955 853363857949 2258904329865 2560091573847 4266819289745 7680274721541 12800457869235 38401373607705