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2145400205355 = 335115924486677
BaseRepresentation
bin11111001110000011110…
…100010011000000101011
321121002122121222120211000
4133032003310103000223
5240122234423032410
64321325552010043
7311000005600221
oct37160364230053
97532577876730
102145400205355
1175794a538160
122a7962230923
13127405b68b44
1475ba3398b11
153ac17d59dc0
hex1f383d1302b

2145400205355 has 64 divisors (see below), whose sum is σ = 4231297958400. Its totient is φ = 1022563589760.

The previous prime is 2145400205303. The next prime is 2145400205359. The reversal of 2145400205355 is 5535020045412.

2145400205355 is a `hidden beast` number, since 2 + 1 + 45 + 400 + 205 + 3 + 5 + 5 = 666.

It is not a de Polignac number, because 2145400205355 - 216 = 2145400139819 is a prime.

It is a super-2 number, since 2×21454002053552 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2145400205359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12155724 + ... + 12330953.

It is an arithmetic number, because the mean of its divisors is an integer number (66114030600).

Almost surely, 22145400205355 is an apocalyptic number.

2145400205355 is a deficient number, since it is larger than the sum of its proper divisors (2085897753045).

2145400205355 is a wasteful number, since it uses less digits than its factorization.

2145400205355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24486761 (or 24486755 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 2145400205355 in words is "two trillion, one hundred forty-five billion, four hundred million, two hundred five thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 59 99 135 165 177 295 297 495 531 649 885 1485 1593 1947 2655 3245 5841 7965 9735 17523 29205 87615 24486677 73460031 122433385 220380093 269353447 367300155 661140279 808060341 1101900465 1346767235 1444713943 2424181023 3305701395 4040301705 4334141829 7223569715 7272543069 12120905115 13002425487 15891853373 21670709145 36362715345 39007276461 47675560119 65012127435 79459266865 143026680357 195036382305 238377800595 429080041071 715133401785 2145400205355