Search a number
-
+
2045332400000 = 27555113331
BaseRepresentation
bin11101110000110111010…
…011111010011110000000
321020112100201202101002212
4131300313103322132000
5232002320043300000
64203340203401252
7300525146355401
oct35606723723600
97215321671085
102045332400000
117194698aa97a
12290495823228
1311ab492a87b6
1470dcd3279a8
153830cbc9c35
hex1dc374fa780

2045332400000 has 96 divisors (see below), whose sum is σ = 5093032071960. Its totient is φ = 818132800000.

The previous prime is 2045332399987. The next prime is 2045332400029. The reversal of 2045332400000 is 42335402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2156666 + ... + 2956665.

Almost surely, 22045332400000 is an apocalyptic number.

2045332400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045332400000 is an abundant number, since it is smaller than the sum of its proper divisors (3047699671960).

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

2045332400000 is an frugal number, since it uses more digits than its factorization.

2045332400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113370 (or 5113338 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 2045332400000 its reverse (42335402), we get a palindrome (2045374735402).

The spelling of 2045332400000 in words is "two trillion, forty-five billion, three hundred thirty-two million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 5113331 10226662 20453324 25566655 40906648 51133310 81813296 102266620 127833275 163626592 204533240 255666550 327253184 409066480 511333100 639166375 654506368 818132960 1022666200 1278332750 1636265920 2045332400 2556665500 3195831875 3272531840 4090664800 5113331000 6391663750 8181329600 10226662000 12783327500 15979159375 16362659200 20453324000 25566655000 31958318750 40906648000 51133310000 63916637500 81813296000 102266620000 127833275000 204533240000 255666550000 409066480000 511333100000 1022666200000 2045332400000