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428829124064 = 25111771662621
BaseRepresentation
bin1100011110110000011…
…01010010010111100000
31111222212211122121112112
412033120031102113200
524011220223432224
6525000144214452
742660533261255
oct6173015222740
91458784577475
10428829124064
11155957951a70
126b13a00a428
1331591268333
1416a80cdd42c
15b24c83b30e
hex63d83525e0

428829124064 has 48 divisors (see below), whose sum is σ = 975184960176. Its totient is φ = 183456307200.

The previous prime is 428829124063. The next prime is 428829124067. The reversal of 428829124064 is 460421928824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428829124063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35825327 + ... + 35837294.

It is an arithmetic number, because the mean of its divisors is an integer number (20316353337).

Almost surely, 2428829124064 is an apocalyptic number.

428829124064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428829124064 is an abundant number, since it is smaller than the sum of its proper divisors (546355836112).

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

428829124064 is a wasteful number, since it uses less digits than its factorization.

428829124064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71662659 (or 71662651 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The spelling of 428829124064 in words is "four hundred twenty-eight billion, eight hundred twenty-nine million, one hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 71662621 143325242 286650484 573300968 788288831 1146601936 1218264557 1576577662 2293203872 2436529114 3153155324 4873058228 6306310648 9746116456 12612621296 13400910127 19492232912 25225242592 26801820254 38984465824 53603640508 107207281016 214414562032 428829124064