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87058043136 = 28366832
BaseRepresentation
bin101000100010100010…
…0000101000100000000
322022201020001211000000
41101011010011010000
52411243324340021
6103554404000000
76201244104561
oct1210504050400
9268636054000
1087058043136
1133a14aa5389
1214a57690000
1382954810bc
1442dc2c4168
1523e7e50b26
hex1445105100

87058043136 has 189 divisors, whose sum is σ = 260926865479. Its totient is φ = 28976859648.

The previous prime is 87058043131. The next prime is 87058043147. The reversal of 87058043136 is 63134085078.

The square root of 87058043136 is 295056.

It is a perfect power (a square), and thus also a powerful number.

87058043136 is a `hidden beast` number, since 8 + 7 + 0 + 580 + 4 + 31 + 36 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87058043091 and 87058043100.

It is not an unprimeable number, because it can be changed into a prime (87058043131) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 127463851 + ... + 127464533.

Almost surely, 287058043136 is an apocalyptic number.

87058043136 is the 295056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87058043136

87058043136 is an abundant number, since it is smaller than the sum of its proper divisors (173868822343).

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

87058043136 is an frugal number, since it uses more digits than its factorization.

87058043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87058043136 in words is "eighty-seven billion, fifty-eight million, forty-three thousand, one hundred thirty-six".