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87084197676 = 223272211233969
BaseRepresentation
bin101000100011010011…
…1110110011100101100
322022210001021121021200
41101012213312130230
52411322023311201
6104001140325500
76202012316100
oct1210647663454
9268701247250
1087084197676
1133a28839703
1214a643a3890
13829aa0a968
144301971900
1523ea3ba386
hex14469f672c

87084197676 has 108 divisors (see below), whose sum is σ = 257283706680. Its totient is φ = 24763173120.

The previous prime is 87084197647. The next prime is 87084197687. The reversal of 87084197676 is 67679148078.

87084197676 is a `hidden beast` number, since 87 + 0 + 8 + 419 + 76 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 35 ways as a sum of consecutive naturals, for example, 255220 + ... + 489188.

Almost surely, 287084197676 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 87084197676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128641853340).

87084197676 is an abundant number, since it is smaller than the sum of its proper divisors (170199509004).

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

87084197676 is a wasteful number, since it uses less digits than its factorization.

87084197676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234204 (or 234192 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 87084197676 in words is "eighty-seven billion, eighty-four million, one hundred ninety-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 211 252 294 422 441 588 633 844 882 1266 1477 1764 1899 2532 2954 3798 4431 5908 7596 8862 10339 13293 17724 20678 26586 31017 41356 53172 62034 93051 124068 186102 233969 372204 467938 701907 935876 1403814 1637783 2105721 2807628 3275566 4211442 4913349 6551132 8422884 9826698 11464481 14740047 19653396 22928962 29480094 34393443 45857924 49367459 58960188 68786886 98734918 103180329 137573772 148102377 197469836 206360658 296204754 345572213 412721316 444307131 592409508 691144426 888614262 1036716639 1382288852 1777228524 2073433278 2419005491 3110149917 4146866556 4838010982 6220299834 7257016473 9676021964 12440599668 14514032946 21771049419 29028065892 43542098838 87084197676