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87021250512 = 24372202718253
BaseRepresentation
bin101000100001011011…
…1101110011111010000
322022121122211120000020
41101002313232133100
52411204420004022
6103551011223440
76200316265500
oct1210267563720
9268548746006
1087021250512
11339a6255559
1214a472a7b80
13828a96b411
1442d7467a00
1523e4ad435c
hex1442dee7d0

87021250512 has 120 divisors (see below), whose sum is σ = 261651083616. Its totient is φ = 24849586944.

The previous prime is 87021250499. The next prime is 87021250577. The reversal of 87021250512 is 21505212078.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4758378 + ... + 4776630.

Almost surely, 287021250512 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 87021250512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130825541808).

87021250512 is an abundant number, since it is smaller than the sum of its proper divisors (174629833104).

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

87021250512 is a wasteful number, since it uses less digits than its factorization.

87021250512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20305 (or 20292 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 87021250512 in words is "eighty-seven billion, twenty-one million, two hundred fifty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2027 2352 4054 6081 8108 12162 14189 16216 18253 24324 28378 32432 36506 42567 48648 54759 56756 73012 85134 97296 99323 109518 113512 127771 146024 170268 198646 219036 227024 255542 292048 297969 340536 383313 397292 438072 511084 595938 681072 766626 794584 876144 894397 1022168 1191876 1533252 1589168 1788794 2044336 2383752 2683191 3066504 3577588 4767504 5366382 6133008 7155176 10732764 14310352 21465528 36998831 42931056 73997662 110996493 147995324 221992986 258991817 295990648 443985972 517983634 591981296 776975451 887971944 1035967268 1553950902 1775943888 1812942719 2071934536 3107901804 3625885438 4143869072 5438828157 6215803608 7251770876 10877656314 12431607216 14503541752 21755312628 29007083504 43510625256 87021250512