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87316970752 = 281131007447
BaseRepresentation
bin101000101010001111…
…1110011110100000000
322100101021021200220201
41101110133303310000
52412311121031002
6104040213414544
76210540001564
oct1212437636400
9270337250821
1087316970752
1134038176550
1214b0a33a454
138306ccb1cb
1443248456a4
152410a4a087
hex14547f3d00

87316970752 has 36 divisors (see below), whose sum is σ = 190137671136. Its totient is φ = 39689530880.

The previous prime is 87316970747. The next prime is 87316970777. The reversal of 87316970752 is 25707961378.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87316970693 and 87316970702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15500908 + ... + 15506539.

It is an arithmetic number, because the mean of its divisors is an integer number (5281601976).

Almost surely, 287316970752 is an apocalyptic number.

It is an amenable number.

87316970752 is an abundant number, since it is smaller than the sum of its proper divisors (102820700384).

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

87316970752 is a wasteful number, since it uses less digits than its factorization.

87316970752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31007474 (or 31007460 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 87316970752 in words is "eighty-seven billion, three hundred sixteen million, nine hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 31007447 62014894 124029788 248059576 341081917 496119152 682163834 992238304 1364327668 1984476608 2728655336 3968953216 5457310672 7937906432 10914621344 21829242688 43658485376 87316970752