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48752655625784 = 23112174728829029
BaseRepresentation
bin10110001010111000111001…
…01110000110111000111000
320101121201010101122202021002
423011130130232012320320
522342230414320011114
6251404354422304132
713161156153241415
oct1305343456067070
9211551111582232
1048752655625784
1114596981137a00
125574711888048
132128481616476
14c078d935110c
1559827d7eb7de
hex2c571cb86e38

48752655625784 has 48 divisors (see below), whose sum is σ = 100534323157800. Its totient is φ = 22147612470720.

The previous prime is 48752655625783. The next prime is 48752655625801.

48752655625784 is nontrivially palindromic in base 10.

48752655625784 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 2×487526556257842 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48752655625783) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12723419 + ... + 16105610.

Almost surely, 248752655625784 is an apocalyptic number.

48752655625784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48752655625784 is an abundant number, since it is smaller than the sum of its proper divisors (51781667532016).

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

48752655625784 is a wasteful number, since it uses less digits than its factorization.

48752655625784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28830804 (or 28830789 counting only the distinct ones).

The product of its digits is 4515840000, while the sum is 74.

The spelling of 48752655625784 in words is "forty-eight trillion, seven hundred fifty-two billion, six hundred fifty-five million, six hundred twenty-five thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1747 3494 6988 13976 19217 38434 76868 153736 211387 422774 845548 1691096 28829029 57658058 115316116 230632232 317119319 634238638 1268477276 2536954552 3488312509 6976625018 13953250036 27906500072 50364313663 100728627326 201457254652 402914509304 554007450293 1108014900586 2216029801172 4432059602344 6094081953223 12188163906446 24376327812892 48752655625784