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428788887824 = 241120551118549
BaseRepresentation
bin1100011110101011100…
…11110011000100010000
31111222210000221101210102
412033111303303010100
524011124423402244
6524552145551532
742656534260403
oct6172563630420
91458700841712
10428788887824
1115593716a980
126b1286455a8
1331585b1b0cb
1416a79827d3a
15b24903e54e
hex63d5cf3110

428788887824 has 40 divisors (see below), whose sum is σ = 906355531200. Its totient is φ = 194892912000.

The previous prime is 428788887811. The next prime is 428788887853.

428788887824 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3557702 + ... + 3676250.

It is an arithmetic number, because the mean of its divisors is an integer number (22658888280).

Almost surely, 2428788887824 is an apocalyptic number.

428788887824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428788887824 is an abundant number, since it is smaller than the sum of its proper divisors (477566643376).

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

428788887824 is a wasteful number, since it uses less digits than its factorization.

428788887824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139119 (or 139113 counting only the distinct ones).

The product of its digits is 822083584, while the sum is 74.

The spelling of 428788887824 in words is "four hundred twenty-eight billion, seven hundred eighty-eight million, eight hundred eighty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 20551 41102 82204 118549 164408 226061 237098 328816 452122 474196 904244 948392 1304039 1808488 1896784 2608078 3616976 5216156 10432312 20864624 2436300499 4872600998 9745201996 19490403992 26799305489 38980807984 53598610978 107197221956 214394443912 428788887824