Search a number
-
+
87552460332 = 22341945731121
BaseRepresentation
bin101000110001010001…
…0001000011000101100
322100222200101210220000
41101202202020120230
52413301412212312
6104115425024300
76216426430251
oct1214242103054
9270880353800
1087552460332
1134149099337
1214b75185090
138343a3005c
144347c25428
152426564adc
hex146288862c

87552460332 has 120 divisors (see below), whose sum is σ = 241460659440. Its totient is φ = 27586759680.

The previous prime is 87552460327. The next prime is 87552460397. The reversal of 87552460332 is 23306425578.

87552460332 is a `hidden beast` number, since 8 + 7 + 5 + 5 + 2 + 4 + 603 + 32 = 666.

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 39 ways as a sum of consecutive naturals, for example, 2797732 + ... + 2828852.

It is an arithmetic number, because the mean of its divisors is an integer number (2012172162).

Almost surely, 287552460332 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 87552460332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120730329720).

87552460332 is an abundant number, since it is smaller than the sum of its proper divisors (153908199108).

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

87552460332 is a wasteful number, since it uses less digits than its factorization.

87552460332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31613 (or 31602 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 87552460332 in words is "eighty-seven billion, five hundred fifty-two million, four hundred sixty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 457 513 684 914 1026 1371 1539 1828 2052 2742 3078 4113 5484 6156 8226 8683 12339 16452 17366 24678 26049 31121 34732 37017 49356 52098 62242 74034 78147 93363 104196 124484 148068 156294 186726 234441 280089 312588 373452 468882 560178 591299 703323 840267 937764 1120356 1182598 1406646 1680534 1773897 2365196 2520801 2813292 3361068 3547794 5041602 5321691 7095588 10083204 10643382 14222297 15965073 21286764 28444594 31930146 42666891 47895219 56889188 63860292 85333782 95790438 128000673 170667564 191580876 256001346 270223643 384002019 512002692 540447286 768004038 810670929 1080894572 1152006057 1536008076 1621341858 2304012114 2432012787 3242683716 4608024228 4864025574 7296038361 9728051148 14592076722 21888115083 29184153444 43776230166 87552460332