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87480439312 = 2472199776011
BaseRepresentation
bin101000101111000111…
…1011001001000010000
322100210122212202121211
41101132033121020100
52413124443024222
6104104333225504
76214563315400
oct1213617311020
9270718782554
1087480439312
1134111477932
1214b55032294
138331b34676
14433c438800
15242008a277
hex145e3d9210

87480439312 has 120 divisors (see below), whose sum is σ = 207789870240. Its totient is φ = 35476116480.

The previous prime is 87480439253. The next prime is 87480439337. The reversal of 87480439312 is 21393408478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 14550387 + ... + 14556397.

It is an arithmetic number, because the mean of its divisors is an integer number (1731582252).

Almost surely, 287480439312 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 87480439312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103894935120).

87480439312 is an abundant number, since it is smaller than the sum of its proper divisors (120309430928).

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

87480439312 is a wasteful number, since it uses less digits than its factorization.

87480439312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 87480439312 in words is "eighty-seven billion, four hundred eighty million, four hundred thirty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 977 1064 1862 1954 2128 3724 3908 6011 6839 7448 7816 12022 13678 14896 15632 18563 24044 27356 37126 42077 47873 48088 54712 74252 84154 95746 96176 109424 114209 129941 148504 168308 191492 228418 259882 294539 297008 336616 382984 456836 519764 589078 673232 765968 799463 909587 913672 1039528 1178156 1598926 1819174 1827344 2079056 2356312 3197852 3638348 4712624 5596241 5872747 6395704 7276696 11192482 11745494 12791408 14553392 22384964 23490988 41109229 44769928 46981976 82218458 89539856 93963952 111582193 164436916 223164386 287764603 328873832 446328772 575529206 657747664 781075351 892657544 1151058412 1562150702 1785315088 2302116824 3124301404 4604233648 5467527457 6248602808 10935054914 12497205616 21870109828 43740219656 87480439312