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53060405040 = 24325257286751
BaseRepresentation
bin110001011010101001…
…011000011100110000
312001221212111212002200
4301122221120130300
51332131430430130
640213044343200
73555613000266
oct613251303460
9161855455080
1053060405040
1120559240715
12a3499a4b00
135007b13696
1427d4d7c436
1515a83bb760
hexc5aa58730

53060405040 has 120 divisors (see below), whose sum is σ = 178888514688. Its totient is φ = 14094336000.

The previous prime is 53060405033. The next prime is 53060405071. The reversal of 53060405040 is 4050406035.

53060405040 is a `hidden beast` number, since 5 + 3 + 0 + 604 + 0 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 53060404995 and 53060405013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41665 + ... + 328415.

Almost surely, 253060405040 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 53060405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89444257344).

53060405040 is an abundant number, since it is smaller than the sum of its proper divisors (125828109648).

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

53060405040 is a wasteful number, since it uses less digits than its factorization.

53060405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287027 (or 287018 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 53060405040 in words is "fifty-three billion, sixty million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 257 360 514 720 771 1028 1285 1542 2056 2313 2570 3084 3855 4112 4626 5140 6168 7710 9252 10280 11565 12336 15420 18504 20560 23130 30840 37008 46260 61680 92520 185040 286751 573502 860253 1147004 1433755 1720506 2294008 2580759 2867510 3441012 4301265 4588016 5161518 5735020 6882024 8602530 10323036 11470040 12903795 13764048 17205060 20646072 22940080 25807590 34410120 41292144 51615180 68820240 73695007 103230360 147390014 206460720 221085021 294780028 368475035 442170042 589560056 663255063 736950070 884340084 1105425105 1179120112 1326510126 1473900140 1768680168 2210850210 2653020252 2947800280 3316275315 3537360336 4421700420 5306040504 5895600560 6632550630 8843400840 10612081008 13265101260 17686801680 26530202520 53060405040