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48745433454784 = 2611347199540843
BaseRepresentation
bin10110001010101011011100…
…01111101101100011000000
320101121000111001212110011021
423011111232033231203000
522342121121431023114
6251401202030155224
713160512165634323
oct1305255617554300
9211530431773137
1048745433454784
1114593905437a40
125573237052b14
1321278a02928c1
14c074120c07ba
15597ea9749024
hex2c556e3ed8c0

48745433454784 has 56 divisors (see below), whose sum is σ = 105826885697088. Its totient is φ = 22093162026240.

The previous prime is 48745433454761. The next prime is 48745433454793.

48745433454784 is nontrivially palindromic in base 10.

48745433454784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×487454334547842 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99526134 + ... + 100014709.

Almost surely, 248745433454784 is an apocalyptic number.

48745433454784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48745433454784 is an abundant number, since it is smaller than the sum of its proper divisors (57081452242304).

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

48745433454784 is a wasteful number, since it uses less digits than its factorization.

48745433454784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199541213 (or 199541203 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 70.

The spelling of 48745433454784 in words is "forty-eight trillion, seven hundred forty-five billion, four hundred thirty-three million, four hundred fifty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 347 352 694 704 1388 2776 3817 5552 7634 11104 15268 22208 30536 61072 122144 244288 199540843 399081686 798163372 1596326744 2194949273 3192653488 4389898546 6385306976 8779797092 12770613952 17559594184 35119188368 69240672521 70238376736 138481345042 140476753472 276962690084 553925380168 761647397731 1107850760336 1523294795462 2215701520672 3046589590924 4431403041344 6093179181848 12186358363696 24372716727392 48745433454784