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48365256384 = 263327989153
BaseRepresentation
bin101101000010110010…
…110011111011000000
311121211122202120222000
4231002302303323000
51243023001201014
634115123144000
73331351616244
oct550262637300
9147748676860
1048365256384
1119569a20a75
129459515000
13473a190b03
1424ab594424
1513d10d1509
hexb42cb3ec0

48365256384 has 56 divisors (see below), whose sum is σ = 142184902320. Its totient is φ = 16121751552.

The previous prime is 48365256353. The next prime is 48365256449.

48365256384 is a `hidden beast` number, since 4 + 8 + 3 + 6 + 5 + 256 + 384 = 666.

48365256384 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48365256384.

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, 13992849 + ... + 13996304.

Almost surely, 248365256384 is an apocalyptic number.

It is an amenable number.

48365256384 is an abundant number, since it is smaller than the sum of its proper divisors (93819645936).

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

48365256384 is a wasteful number, since it uses less digits than its factorization.

48365256384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27989174 (or 27989158 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 48365256384 in words is "forty-eight billion, three hundred sixty-five million, two hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 27989153 55978306 83967459 111956612 167934918 223913224 251902377 335869836 447826448 503804754 671739672 755707131 895652896 1007609508 1343479344 1511414262 1791305792 2015219016 2686958688 3022828524 4030438032 5373917376 6045657048 8060876064 12091314096 16121752128 24182628192 48365256384