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245172838736016 = 243213048332
BaseRepresentation
bin110111101111101110111111…
…111101100010000010010000
31012011002021221200020201011100
4313233232333331202002100
5224113402433204023031
62225234503000144400
7102433103333222112
oct6757567775420220
91164067850221140
10245172838736016
1171135242907474
12235b817b768100
13a6a5912a15319
1444786005473b2
151d52795164de6
hexdefbbff62090

245172838736016 has 45 divisors (see below), whose sum is σ = 686143956477369. Its totient is φ = 81724216946688.

The previous prime is 245172838735931. The next prime is 245172838736017. The reversal of 245172838736016 is 610637838271542.

It is a happy number.

The square root of 245172838736016 is 15657996.

It is a perfect power (a square), and thus also a powerful number.

245172838736016 is a `hidden beast` number, since 2 + 4 + 5 + 17 + 2 + 8 + 3 + 8 + 7 + 3 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 227894650592400 + 17278188143616 = 15096180^2 + 4156704^2 .

It is not an unprimeable number, because it can be changed into a prime (245172838736017) 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 8 ways as a sum of consecutive naturals, for example, 187243536 + ... + 188548368.

Almost surely, 2245172838736016 is an apocalyptic number.

245172838736016 is the 15657996-th square number.

It is an amenable number.

245172838736016 is an abundant number, since it is smaller than the sum of its proper divisors (440971117741353).

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

245172838736016 is an frugal number, since it uses more digits than its factorization.

245172838736016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609680 (or 1304838 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 245172838736016 in words is "two hundred forty-five trillion, one hundred seventy-two billion, eight hundred thirty-eight million, seven hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1304833 2609666 3914499 5219332 7828998 10438664 11743497 15657996 20877328 23486994 31315992 46973988 62631984 93947976 187895952 1702589157889 3405178315778 5107767473667 6810356631556 10215534947334 13620713263112 15323302421001 20431069894668 27241426526224 30646604842002 40862139789336 61293209684004 81724279578672 122586419368008 245172838736016