Search a number
-
+
2021328075240 = 2332537151751357
BaseRepresentation
bin11101011010100000100…
…010101011100111101000
321011020101211101022221200
4131122200202223213220
5231104134441401430
64144330231404200
7266015252103315
oct35324042534750
97136354338850
102021328075240
1170a271003451
122878b6823660
131187c2126b36
146db932c3d0c
15378a5632460
hex1d6a08ab9e8

2021328075240 has 96 divisors (see below), whose sum is σ = 6746865376680. Its totient is φ = 524452686336.

The previous prime is 2021328075197. The next prime is 2021328075241. The reversal of 2021328075240 is 425708231202.

2021328075240 is a `hidden beast` number, since 2 + 0 + 21 + 32 + 80 + 7 + 524 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1446530587524 + 574797487716 = 1202718^2 + 758154^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2021328075195 and 2021328075204.

It is not an unprimeable number, because it can be changed into a prime (2021328075241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75862359 + ... + 75888998.

Almost surely, 22021328075240 is an apocalyptic number.

2021328075240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021328075240 is an abundant number, since it is smaller than the sum of its proper divisors (4725537301440).

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

2021328075240 is a wasteful number, since it uses less digits than its factorization.

2021328075240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151751411 (or 151751404 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2021328075240 in words is "two trillion, twenty-one billion, three hundred twenty-eight million, seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 151751357 303502714 455254071 607005428 758756785 910508142 1214010856 1365762213 1517513570 1821016284 2276270355 2731524426 3035027140 3642032568 4552540710 5463048852 5614800209 6070054280 6828811065 9105081420 10926097704 11229600418 13657622130 16844400627 18210162840 22459200836 27315244260 28074001045 33688801254 44918401672 50533201881 54630488520 56148002090 67377602508 84222003135 101066403762 112296004180 134755205016 168444006270 202132807524 224592008360 252666009405 336888012540 404265615048 505332018810 673776025080 1010664037620 2021328075240