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2087693016 = 233316474337
BaseRepresentation
bin111110001101111…
…1010101011011000
312101111100210102120
41330123322223120
513233422134031
6543054301240
7102510045363
oct17433725330
95344323376
102087693016
119814a2732
124a31b7820
1327369c216
1415b3a50da
15c3435a96
hex7c6faad8

2087693016 has 64 divisors (see below), whose sum is σ = 5397166080. Its totient is φ = 672253440.

The previous prime is 2087693011. The next prime is 2087693029. The reversal of 2087693016 is 6103967802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087693011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 479200 + ... + 483536.

It is an arithmetic number, because the mean of its divisors is an integer number (84330720).

Almost surely, 22087693016 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 2087693016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698583040).

2087693016 is an abundant number, since it is smaller than the sum of its proper divisors (3309473064).

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

2087693016 is a wasteful number, since it uses less digits than its factorization.

2087693016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2087693016 is about 45691.2794305434. The cubic root of 2087693016 is about 1278.0726641857.

The spelling of 2087693016 in words is "two billion, eighty-seven million, six hundred ninety-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 647 744 1294 1941 2588 3882 4337 5176 7764 8674 13011 15528 17348 20057 26022 34696 40114 52044 60171 80228 104088 120342 134447 160456 240684 268894 403341 481368 537788 806682 1075576 1613364 2806039 3226728 5612078 8418117 11224156 16836234 22448312 33672468 67344936 86987209 173974418 260961627 347948836 521923254 695897672 1043846508 2087693016