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48321412384 = 257287974929
BaseRepresentation
bin101101000000001011…
…100011110100100000
311121201121021002022011
4231000023203310200
51242430240144014
634110515322304
73330310141210
oct550013436440
9147647232264
1048321412384
11195471a5363
1294468b0394
13473107c70b
1424a5820240
1513cc3207c4
hexb402e3d20

48321412384 has 48 divisors (see below), whose sum is σ = 108762393600. Its totient is φ = 20701707264.

The previous prime is 48321412367. The next prime is 48321412387.

48321412384 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (48321412387) 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, 607432 + ... + 682360.

It is an arithmetic number, because the mean of its divisors is an integer number (2265883200).

Almost surely, 248321412384 is an apocalyptic number.

It is an amenable number.

48321412384 is an abundant number, since it is smaller than the sum of its proper divisors (60440981216).

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

48321412384 is a wasteful number, since it uses less digits than its factorization.

48321412384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77825 (or 77817 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 48321412384 in words is "forty-eight billion, three hundred twenty-one million, four hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2879 5758 11516 20153 23032 40306 46064 74929 80612 92128 149858 161224 299716 322448 524503 599432 644896 1049006 1198864 2098012 2397728 4196024 8392048 16784096 215720591 431441182 862882364 1510044137 1725764728 3020088274 3451529456 6040176548 6903058912 12080353096 24160706192 48321412384