Search a number
-
+
2045032016472 = 233343220180019
BaseRepresentation
bin11101110000100101011…
…010000010101001011000
321020111120210112022101000
4131300211122002221120
5232001211144011342
64203250313225000
7300514541220564
oct35604532025130
97214523468330
102045032016472
11719325294325
12290411102160
1311aacbca5273
1470da14946a4
15382e164244c
hex1dc25682a58

2045032016472 has 64 divisors (see below), whose sum is σ = 5812752528000. Its totient is φ = 665824374432.

The previous prime is 2045032016441. The next prime is 2045032016479. The reversal of 2045032016472 is 2746102305402.

2045032016472 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 0 + 3 + 2 + 0 + 1 + 647 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045032016479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110080722 + ... + 110099297.

It is an arithmetic number, because the mean of its divisors is an integer number (90824258250).

Almost surely, 22045032016472 is an apocalyptic number.

It is an amenable number.

2045032016472 is an abundant number, since it is smaller than the sum of its proper divisors (3767720511528).

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

2045032016472 is a wasteful number, since it uses less digits than its factorization.

2045032016472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220180077 (or 220180067 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2045032016472 in words is "two trillion, forty-five billion, thirty-two million, sixteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 220180019 440360038 660540057 880720076 1321080114 1761440152 1981620171 2642160228 3963240342 5284320456 5944860513 7926480684 9467740817 11889721026 15852961368 18935481634 23779442052 28403222451 37870963268 47558884104 56806444902 75741926536 85209667353 113612889804 170419334706 227225779608 255629002059 340838669412 511258004118 681677338824 1022516008236 2045032016472