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87831132424 = 2372397727967
BaseRepresentation
bin101000111001100100…
…1001011100100001000
322101201002202211010121
41101303021023210020
52414334232214144
6104203221553024
76226352210320
oct1216311134410
9271632684117
1087831132424
1134281425852
1215032575774
1383896a1199
144372c46280
152440c5e384
hex147324b908

87831132424 has 128 divisors (see below), whose sum is σ = 198895656960. Its totient is φ = 35548305408.

The previous prime is 87831132421. The next prime is 87831132437. The reversal of 87831132424 is 42423113878.

It is not an unprimeable number, because it can be changed into a prime (87831132421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90827989 + ... + 90828955.

It is an arithmetic number, because the mean of its divisors is an integer number (1553872320).

Almost surely, 287831132424 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 87831132424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99447828480).

87831132424 is an abundant number, since it is smaller than the sum of its proper divisors (111064524536).

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

87831132424 is a wasteful number, since it uses less digits than its factorization.

87831132424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1823 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The spelling of 87831132424 in words is "eighty-seven billion, eight hundred thirty-one million, one hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 97 161 184 194 322 388 644 679 727 776 967 1288 1358 1454 1934 2231 2716 2908 3868 4462 5089 5432 5816 6769 7736 8924 10178 13538 15617 16721 17848 20356 22241 27076 31234 33442 40712 44482 54152 62468 66884 70519 88964 93799 117047 124936 133768 141038 155687 177928 187598 234094 282076 311374 375196 468188 493633 564152 622748 656593 703009 750392 936376 987266 1245496 1313186 1406018 1621937 1974532 2157377 2626372 2812036 3243874 3949064 4314754 4921063 5252744 5624072 6487748 8629508 9842126 11353559 12975496 15101639 16169207 17259016 19684252 22707118 30203278 32338414 39368504 45414236 60406556 64676828 68191873 90828472 113184449 120813112 129353656 136383746 226368898 272767492 452737796 477343111 545534984 905475592 954686222 1568413079 1909372444 3136826158 3818744888 6273652316 10978891553 12547304632 21957783106 43915566212 87831132424