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87479937820 = 225112941334429
BaseRepresentation
bin101000101111000110…
…1011110101100011100
322100210121221021201001
41101132031132230130
52413124331002240
6104104314400044
76214556126332
oct1213615365434
9270717837631
1087479937820
1134111165080
1214b54a30024
1383319ba322
14433c347b52
15241eedb89a
hex145e35eb1c

87479937820 has 96 divisors (see below), whose sum is σ = 212376427200. Its totient is φ = 29964748800.

The previous prime is 87479937803. The next prime is 87479937829. The reversal of 87479937820 is 2873997478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87479937829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94366 + ... + 428794.

It is an arithmetic number, because the mean of its divisors is an integer number (2212254450).

Almost surely, 287479937820 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 87479937820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106188213600).

87479937820 is an abundant number, since it is smaller than the sum of its proper divisors (124896489380).

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

87479937820 is a wasteful number, since it uses less digits than its factorization.

87479937820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334519 (or 334517 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 64.

The spelling of 87479937820 in words is "eighty-seven billion, four hundred seventy-nine million, nine hundred thirty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 41 44 55 58 82 110 116 145 164 205 220 290 319 410 451 580 638 820 902 1189 1276 1595 1804 2255 2378 3190 4510 4756 5945 6380 9020 11890 13079 23780 26158 52316 65395 130790 261580 334429 668858 1337716 1672145 3344290 3678719 6688580 7357438 9698441 13711589 14714876 18393595 19396882 27423178 36787190 38793764 48492205 54846356 68557945 73574380 96984410 106682851 137115890 150827479 193968820 213365702 274231780 301654958 397636081 426731404 533414255 603309916 754137395 795272162 1066828510 1508274790 1590544324 1988180405 2133657020 3016549580 3976360810 4373996891 7952721620 8747993782 17495987564 21869984455 43739968910 87479937820