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241782135648 = 2536141287933
BaseRepresentation
bin1110000100101101010…
…1101001101101100000
3212010002012202002111220
43201023111221231200
512430132211320043
6303023450135040
723316405146364
oct3411325515540
9763065662456
10241782135648
11935a2792119
123aa38421480
1319a52678471
14b9b92352a4
156451636483
hex384b569b60

241782135648 has 48 divisors (see below), whose sum is σ = 645082680816. Its totient is φ = 79272829440.

The previous prime is 241782135629. The next prime is 241782135649. The reversal of 241782135648 is 846531287142.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2417821356482 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241782135648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241782135649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20638111 + ... + 20649822.

It is an arithmetic number, because the mean of its divisors is an integer number (13439222517).

Almost surely, 2241782135648 is an apocalyptic number.

It is an amenable number.

241782135648 is an abundant number, since it is smaller than the sum of its proper divisors (403300545168).

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

241782135648 is a wasteful number, since it uses less digits than its factorization.

241782135648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41288007 (or 41287999 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 241782135648 in words is "two hundred forty-one billion, seven hundred eighty-two million, one hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 41287933 82575866 123863799 165151732 247727598 330303464 495455196 660606928 990910392 1321213856 1981820784 2518563913 3963641568 5037127826 7555691739 10074255652 15111383478 20148511304 30222766956 40297022608 60445533912 80594045216 120891067824 241782135648