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48364248000 = 263532015177
BaseRepresentation
bin101101000010101110…
…111101101111000000
311121211120212100201110
4231002232331233000
51243022221414000
634115045403320
73331340216325
oct550256755700
9147746770643
1048364248000
11195693a23a2
129459109540
134739bc9b33
1424ab3b0b4c
1513d0e82850
hexb42bbdbc0

48364248000 has 112 divisors (see below), whose sum is σ = 159698826144. Its totient is φ = 12897126400.

The previous prime is 48364247959. The next prime is 48364248011. The reversal of 48364248000 is 84246384.

It is a self number, because there is not a number n which added to its sum of digits gives 48364248000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983589 + ... + 1031588.

Almost surely, 248364248000 is an apocalyptic number.

48364248000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48364248000 is an abundant number, since it is smaller than the sum of its proper divisors (111334578144).

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

48364248000 is a wasteful number, since it uses less digits than its factorization.

48364248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015207 (or 2015187 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 48364248000 in words is "forty-eight billion, three hundred sixty-four million, two hundred forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 2015177 4030354 6045531 8060708 10075885 12091062 16121416 20151770 24182124 30227655 32242832 40303540 48364248 50379425 60455310 64485664 80607080 96728496 100758850 120910620 128971328 151138275 161214160 193456992 201517700 241821240 251897125 302276550 322428320 386913984 403035400 483642480 503794250 604553100 644856640 755691375 806070800 967284960 1007588500 1209106200 1511382750 1612141600 1934569920 2015177000 2418212400 3022765500 3224283200 4030354000 4836424800 6045531000 8060708000 9672849600 12091062000 16121416000 24182124000 48364248000