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48788575744 = 291931161783
BaseRepresentation
bin101101011100000001…
…101001011000000000
311122221011022102221211
4231130001221120000
51244404333410434
634225124255504
73345012023416
oct553401513000
9148834272854
1048788575744
1119766974087
129557241594
1347a6aa863c
14250b8a92b6
15140834e464
hexb5c069600

48788575744 has 80 divisors (see below), whose sum is σ = 105923220480. Its totient is φ = 22364743680.

The previous prime is 48788575739. The next prime is 48788575751. The reversal of 48788575744 is 44757588784.

It is a super-3 number, since 3×487885757443 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48788575744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220677 + ... + 382459.

It is an arithmetic number, because the mean of its divisors is an integer number (1324040256).

Almost surely, 248788575744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48788575744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52961610240).

48788575744 is an abundant number, since it is smaller than the sum of its proper divisors (57134644736).

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

48788575744 is a wasteful number, since it uses less digits than its factorization.

48788575744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161851 (or 161835 counting only the distinct ones).

The product of its digits is 280985600, while the sum is 67.

The spelling of 48788575744 in words is "forty-eight billion, seven hundred eighty-eight million, five hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 512 589 608 992 1178 1216 1984 2356 2432 3968 4712 4864 7936 9424 9728 15872 18848 37696 75392 150784 161783 301568 323566 647132 1294264 2588528 3073877 5015273 5177056 6147754 10030546 10354112 12295508 20061092 20708224 24591016 40122184 41416448 49182032 80244368 82832896 95290187 98364064 160488736 190580374 196728128 320977472 381160748 393456256 641954944 762321496 786912512 1283909888 1524642992 1573825024 2567819776 3049285984 6098571968 12197143936 24394287872 48788575744