Search a number
-
+
32550525105030 = 23656077356001
BaseRepresentation
bin1110110011010110000100…
…11111000111001110000110
311021020210121001122121000000
413121223002133013032012
513231301433411330110
6153121301011502130
76566461233154062
oct731530237071606
9137223531577000
1032550525105030
11a40a666916589
123798614bb7946
1315216695c612a
1480764d3dcaa2
153b6aa94061c0
hex1d9ac27c7386

32550525105030 has 112 divisors (see below), whose sum is σ = 87990965875584. Its totient is φ = 8665838784000.

The previous prime is 32550525105029. The next prime is 32550525105053. The reversal of 32550525105030 is 3050152505523.

32550525105030 is a `hidden beast` number, since 3 + 2 + 5 + 50 + 52 + 51 + 0 + 503 + 0 = 666.

It is a super-2 number, since 2×325505251050302 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 747030 + ... + 8103030.

Almost surely, 232550525105030 is an apocalyptic number.

32550525105030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32550525105030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43995482937792).

32550525105030 is an abundant number, since it is smaller than the sum of its proper divisors (55440440770554).

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

32550525105030 is an equidigital number, since it uses as much as digits as its factorization.

32550525105030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356633 (or 7356618 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 32550525105030 in words is "thirty-two trillion, five hundred fifty billion, five hundred twenty-five million, one hundred five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 607 729 810 1214 1215 1458 1821 2430 3035 3642 3645 5463 6070 7290 9105 10926 16389 18210 27315 32778 49167 54630 81945 98334 147501 163890 245835 295002 442503 491670 737505 885006 1475010 2212515 4425030 7356001 14712002 22068003 36780005 44136006 66204009 73560010 110340015 132408018 198612027 220680030 331020045 397224054 595836081 662040090 993060135 1191672162 1787508243 1986120270 2979180405 3575016486 4465092607 5362524729 5958360810 8930185214 8937541215 10725049458 13395277821 17875082430 22325463035 26790555642 26812623645 40185833463 44650926070 53625247290 66976389105 80371666926 120557500389 133952778210 200929167315 241115000778 361672501167 401858334630 602787501945 723345002334 1085017503501 1205575003890 1808362505835 2170035007002 3255052510503 3616725011670 5425087517505 6510105021006 10850175035010 16275262552515 32550525105030