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24387078342 = 23112231460479
BaseRepresentation
bin10110101101100101…
…010100100011000110
32022221120120221100210
4112231211110203012
5344421043001332
615111523420250
71522222513524
oct265545244306
968846527323
1024387078342
11a384962a00
124887224686
1323b8565293
141274bd9314
1597aea0ecc
hex5ad9548c6

24387078342 has 48 divisors (see below), whose sum is σ = 55942225920. Its totient is φ = 7068713520.

The previous prime is 24387078307. The next prime is 24387078409.

24387078342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24387078291 and 24387078300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713542 + ... + 746937.

It is an arithmetic number, because the mean of its divisors is an integer number (1165463040).

Almost surely, 224387078342 is an apocalyptic number.

24387078342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24387078342 is an abundant number, since it is smaller than the sum of its proper divisors (31555147578).

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

24387078342 is a wasteful number, since it uses less digits than its factorization.

24387078342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460529 (or 1460518 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 24387078342 in words is "twenty-four billion, three hundred eighty-seven million, seventy-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1518 2783 5566 8349 16698 1460479 2920958 4381437 8762874 16065269 32130538 33591017 48195807 67182034 96391614 100773051 176717959 201546102 353435918 369501187 530153877 739002374 1060307754 1108503561 2217007122 4064513057 8129026114 12193539171 24387078342