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15042524124 = 22319235948619
BaseRepresentation
bin11100000001001101…
…01011001111011100
31102211100011101211010
432000212223033130
5221301341232444
610524353255220
71041524226315
oct160046531734
942740141733
1015042524124
11641a127021
122ab9864510
1315595b7764
14a29b3360c
155d09142b9
hex3809ab3dc

15042524124 has 96 divisors (see below), whose sum is σ = 39207168000. Its totient is φ = 4466632896.

The previous prime is 15042524093. The next prime is 15042524191. The reversal of 15042524124 is 42142524051.

15042524124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150425241242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15042524091 and 15042524100.

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 31 ways as a sum of consecutive naturals, for example, 285087 + ... + 333705.

It is an arithmetic number, because the mean of its divisors is an integer number (408408000).

Almost surely, 215042524124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15042524124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603584000).

15042524124 is an abundant number, since it is smaller than the sum of its proper divisors (24164643876).

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

15042524124 is a wasteful number, since it uses less digits than its factorization.

15042524124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48727 (or 48725 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

It can be divided in two parts, 1504 and 2524124, that added together give a triangular number (2525628 = T2247).

The spelling of 15042524124 in words is "fifteen billion, forty-two million, five hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 59 69 76 92 114 118 138 177 228 236 276 354 437 708 874 1121 1311 1357 1748 2242 2622 2714 3363 4071 4484 5244 5428 6726 8142 13452 16284 25783 48619 51566 77349 97238 103132 145857 154698 194476 291714 309396 583428 923761 1118237 1847522 2236474 2771283 2868521 3354711 3695044 4472948 5542566 5737042 6709422 8605563 11085132 11474084 13418844 17211126 21246503 34422252 42493006 54501899 63739509 65975983 84986012 109003798 127479018 131951966 163505697 197927949 218007596 254958036 263903932 327011394 395855898 654022788 791711796 1253543677 2507087354 3760631031 5014174708 7521262062 15042524124