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248652027168 = 25319331339951
BaseRepresentation
bin1110011110010011010…
…0001101010100100000
3212202210222122202000120
43213210310031110200
513033214404332133
6310121255520240
723651554233546
oct3474464152440
9782728582016
10248652027168
11964a8650316
1240235089080
131a5a8a2842c
14c06b7a3d96
1567047eeab3
hex39e4d0d520

248652027168 has 48 divisors (see below), whose sum is σ = 653049726336. Its totient is φ = 82841068800.

The previous prime is 248652027119. The next prime is 248652027187. The reversal of 248652027168 is 861720256842.

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

It is a super-2 number, since 2×2486520271682 (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 248652027168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484408 + ... + 855543.

It is an arithmetic number, because the mean of its divisors is an integer number (13605202632).

Almost surely, 2248652027168 is an apocalyptic number.

It is an amenable number.

248652027168 is an abundant number, since it is smaller than the sum of its proper divisors (404397699168).

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

248652027168 is a wasteful number, since it uses less digits than its factorization.

248652027168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341897 (or 1341889 counting only the distinct ones).

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

The spelling of 248652027168 in words is "two hundred forty-eight billion, six hundred fifty-two million, twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1933 3866 5799 7732 11598 15464 23196 30928 46392 61856 92784 185568 1339951 2679902 4019853 5359804 8039706 10719608 16079412 21439216 32158824 42878432 64317648 128635296 2590125283 5180250566 7770375849 10360501132 15540751698 20721002264 31081503396 41442004528 62163006792 82884009056 124326013584 248652027168