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2987200512 = 2123327011
BaseRepresentation
bin1011001000001101…
…0001000000000000
321201011221111202000
42302003101000000
522104210404022
61212230024000
7134011533252
oct26203210000
97634844660
102987200512
1112a3218a5a
126b44a8000
13387b5268a
14204a33cd2
151273b66ac
hexb20d1000

2987200512 has 104 divisors (see below), whose sum is σ = 8850211680. Its totient is φ = 995696640.

The previous prime is 2987200483. The next prime is 2987200519. The reversal of 2987200512 is 2150027892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2987200519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97087 + ... + 124097.

Almost surely, 22987200512 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 2987200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425105840).

2987200512 is an abundant number, since it is smaller than the sum of its proper divisors (5863011168).

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

2987200512 is an equidigital number, since it uses as much as digits as its factorization.

2987200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27044 (or 27016 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2987200512 is about 54655.2880515692. The cubic root of 2987200512 is about 1440.1955290046.

The spelling of 2987200512 in words is "two billion, nine hundred eighty-seven million, two hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13824 18432 27011 27648 36864 54022 55296 81033 108044 110592 162066 216088 243099 324132 432176 486198 648264 729297 864352 972396 1296528 1458594 1728704 1944792 2593056 2917188 3457408 3889584 5186112 5834376 6914816 7779168 10372224 11668752 13829632 15558336 20744448 23337504 27659264 31116672 41488896 46675008 55318528 62233344 82977792 93350016 110637056 124466688 165955584 186700032 248933376 331911168 373400064 497866752 746800128 995733504 1493600256 2987200512