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424864103004 = 2232115801184949
BaseRepresentation
bin1100010111010111101…
…11111011101001011100
31111121122111202200011200
412023223313323221130
523430110202244004
6523102504115500
742460346201145
oct6135367735134
91447574680150
10424864103004
11154202789a60
126a412165b90
13310ab972c23
14167c6492acc
15b0b96c5239
hex62ebdfba5c

424864103004 has 72 divisors (see below), whose sum is σ = 1171803250800. Its totient is φ = 128723808000.

The previous prime is 424864102987. The next prime is 424864103033. The reversal of 424864103004 is 400301468424.

424864103004 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 641 + 0 + 3 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 424864103004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204722 + ... + 2389670.

It is an arithmetic number, because the mean of its divisors is an integer number (16275045150).

Almost surely, 2424864103004 is an apocalyptic number.

424864103004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424864103004 is an abundant number, since it is smaller than the sum of its proper divisors (746939147796).

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

424864103004 is a wasteful number, since it uses less digits than its factorization.

424864103004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190771 (or 190766 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 424864103004 in words is "four hundred twenty-four billion, eight hundred sixty-four million, one hundred three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5801 11602 17403 23204 34806 52209 63811 69612 104418 127622 184949 191433 208836 255244 369898 382866 554847 574299 739796 765732 1109694 1148598 1664541 2034439 2219388 2297196 3329082 4068878 6103317 6658164 8137756 12206634 18309951 24413268 36619902 73239804 1072889149 2145778298 3218667447 4291556596 6437334894 9656002341 11801780639 12874669788 19312004682 23603561278 35405341917 38624009364 47207122556 70810683834 106216025751 141621367668 212432051502 424864103004