Search a number
-
+
133123624605636 = 2237103147831040821
BaseRepresentation
bin11110010001001101000010…
…010110110001011111000100
3122110100111100021210012220120
4132101031002112301133010
5114422044140344340021
61151044052053501540
740016602342603410
oct3621150226613704
9573314307705816
10133123624605636
1139465459622975
1212b203006418b0
1359386721b60c2
1424c3309953d40
15105ccb70b52c6
hex7913425b17c4

133123624605636 has 96 divisors (see below), whose sum is σ = 358467489988608. Its totient is φ = 37663462235520.

The previous prime is 133123624605607. The next prime is 133123624605677. The reversal of 133123624605636 is 636506426321331.

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, 127382106 + ... + 128422926.

It is an arithmetic number, because the mean of its divisors is an integer number (3734036354048).

Almost surely, 2133123624605636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133123624605636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179233744994304).

133123624605636 is an abundant number, since it is smaller than the sum of its proper divisors (225343865382972).

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

133123624605636 is a wasteful number, since it uses less digits than its factorization.

133123624605636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055721 (or 1055719 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 51.

The spelling of 133123624605636 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, six hundred twenty-four million, six hundred five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1442 2163 2884 4326 8652 14783 29566 44349 59132 88698 103481 177396 206962 310443 413924 620886 1040821 1241772 1522649 2081642 3045298 3122463 4163284 4567947 6090596 6244926 7285747 9135894 10658543 12489852 14571494 18271788 21317086 21857241 29142988 31975629 42634172 43714482 63951258 87428964 107204563 127902516 214409126 321613689 428818252 643227378 750431941 1286454756 1500863882 2251295823 3001727764 4502591646 9005183292 15386456843 30772913686 46159370529 61545827372 92318741058 107705197901 184637482116 215410395802 323115593703 430820791604 646231187406 1292462374812 1584805054829 3169610109658 4754415164487 6339220219316 9508830328974 11093635383803 19017660657948 22187270767606 33280906151409 44374541535212 66561812302818 133123624605636