Search a number
-
+
2164125441330 = 232524045838237
BaseRepresentation
bin11111011111011111111…
…011011001110100110010
321122212222121211010120100
4133133133323121310302
5240424112103110310
64334104022453230
7312232021511016
oct37373773316462
97585877733510
102164125441330
11764889436096
122ab509294216
131290cb403228
1476a5c24c546
153b461c1cec0
hex1f7dfed9d32

2164125441330 has 24 divisors (see below), whose sum is σ = 5626726147692. Its totient is φ = 577100117664.

The previous prime is 2164125441319. The next prime is 2164125441337. The reversal of 2164125441330 is 331445214612.

2164125441330 is a `hidden beast` number, since 2 + 1 + 64 + 12 + 544 + 13 + 30 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2161490980401 + 2634460929 = 1470201^2 + 51327^2 .

It is not an unprimeable number, because it can be changed into a prime (2164125441337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12022919029 + ... + 12022919208.

Almost surely, 22164125441330 is an apocalyptic number.

2164125441330 is an abundant number, since it is smaller than the sum of its proper divisors (3462600706362).

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

2164125441330 is a wasteful number, since it uses less digits than its factorization.

2164125441330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24045838250 (or 24045838247 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2164125441330 in words is "two trillion, one hundred sixty-four billion, one hundred twenty-five million, four hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 24045838237 48091676474 72137514711 120229191185 144275029422 216412544133 240458382370 360687573555 432825088266 721375147110 1082062720665 2164125441330