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48540444404584 = 23111932858010151
BaseRepresentation
bin10110000100101101100111…
…11100100010101101101000
320100212102101000210202101211
423002112303330202231220
522330241312231421314
6251123101115322504
713136634314516416
oct1302266374425550
9210772330722354
1048540444404584
1114514983468560
12553b568750434
132111462479b22
14bdb52758c2b6
155929ad2d29c4
hex2c25b3f22b68

48540444404584 has 32 divisors (see below), whose sum is σ = 99801714507840. Its totient is φ = 21949517952000.

The previous prime is 48540444404567. The next prime is 48540444404591.

48540444404584 is nontrivially palindromic in base 10.

48540444404584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1428988092 + ... + 1429022059.

It is an arithmetic number, because the mean of its divisors is an integer number (3118803578370).

Almost surely, 248540444404584 is an apocalyptic number.

48540444404584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48540444404584 is an abundant number, since it is smaller than the sum of its proper divisors (51261270103256).

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

48540444404584 is a wasteful number, since it uses less digits than its factorization.

48540444404584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858010361 (or 2858010357 counting only the distinct ones).

The product of its (nonzero) digits is 104857600, while the sum is 58.

The spelling of 48540444404584 in words is "forty-eight trillion, five hundred forty billion, four hundred forty-four million, four hundred four thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 193 386 772 1544 2123 4246 8492 16984 2858010151 5716020302 11432040604 22864081208 31438111661 62876223322 125752446644 251504893288 551595959143 1103191918286 2206383836572 4412767673144 6067555550573 12135111101146 24270222202292 48540444404584