Search a number
-
+
39979311606864 = 2432739662015483
BaseRepresentation
bin10010001011100011010001…
…01010101010110001010000
312020112222120222001202012200
421011301220222222301100
520220010112232404424
6221010124152123200
711264260416436530
oct1105615052526120
9166488528052180
1039979311606864
1111814149164103
124598312696500
1319400573b5816
149c301a9db4c0
15494e488228c9
hex245c68aaac50

39979311606864 has 60 divisors (see below), whose sum is σ = 127870337920416. Its totient is φ = 11422660458816.

The previous prime is 39979311606859. The next prime is 39979311606893. The reversal of 39979311606864 is 46860611397993.

39979311606864 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 9 + 3 + 1 + 1 + 606 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 39979311606792 and 39979311606801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19831006734 + ... + 19831008749.

Almost surely, 239979311606864 is an apocalyptic number.

It is an amenable number.

39979311606864 is an abundant number, since it is smaller than the sum of its proper divisors (87891026313552).

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

39979311606864 is a wasteful number, since it uses less digits than its factorization.

39979311606864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39662015504 (or 39662015495 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 39979311606864 in words is "thirty-nine trillion, nine hundred seventy-nine billion, three hundred eleven million, six hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 39662015483 79324030966 118986046449 158648061932 237972092898 277634108381 317296123864 356958139347 475944185796 555268216762 634592247728 713916278694 832902325143 951888371592 1110536433524 1427832557388 1665804650286 1903776743184 2221072867048 2498706975429 2855665114776 3331609300572 4442145734096 4997413950858 5711330229552 6663218601144 9994827901716 13326437202288 19989655803432 39979311606864