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483724427384 = 231143718772053
BaseRepresentation
bin1110000101000000011…
…10010000000001111000
31201020120120211221212202
413002200032100001320
530411131423134014
61010115301125332
746643066535332
oct7024016200170
91636516757782
10483724427384
11177167912940
12798ba3b9848
13367cc26a433
14195ab83a452
15c8b1d563de
hex70a0390078

483724427384 has 128 divisors (see below), whose sum is σ = 1028377658880. Its totient is φ = 211392115200.

The previous prime is 483724427357. The next prime is 483724427423.

483724427384 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 235617302 + ... + 235619354.

It is an arithmetic number, because the mean of its divisors is an integer number (8034200460).

Almost surely, 2483724427384 is an apocalyptic number.

483724427384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483724427384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514188829440).

483724427384 is an abundant number, since it is smaller than the sum of its proper divisors (544653231496).

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

483724427384 is a wasteful number, since it uses less digits than its factorization.

483724427384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3057 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 56.

The spelling of 483724427384 in words is "four hundred eighty-three billion, seven hundred twenty-four million, four hundred twenty-seven thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 22 43 44 71 86 88 142 172 284 344 473 568 781 877 946 1562 1754 1892 2053 3053 3124 3508 3784 4106 6106 6248 7016 8212 9647 12212 16424 19294 22583 24424 33583 37711 38588 45166 62267 67166 75422 77176 88279 90332 124534 134332 145763 150844 176558 180664 249068 268664 291526 301688 353116 414821 498136 583052 684937 706232 829642 971069 1166104 1369874 1603393 1659284 1800481 1942138 2677481 2739748 3206786 3318568 3600962 3884276 5354962 5479496 6267809 6413572 7201924 7768552 10709924 12535618 12827144 14403848 19805291 21419848 25071236 29452291 39610582 50142472 58904582 68945899 77420683 79221164 117809164 127834151 137891798 154841366 158442328 235618328 255668302 275783596 309682732 511336604 551567192 619365464 851627513 1022673208 1406175661 1703255026 2812351322 3406510052 5496868493 5624702644 6813020104 10993736986 11249405288 21987473972 43974947944 60465553423 120931106846 241862213692 483724427384