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1987164216 = 2332291974831
BaseRepresentation
bin111011001110001…
…1011100000111000
312010111012101211200
41312130123200320
513032203223331
6525103454200
7100146421452
oct16634334070
95114171750
101987164216
1192a77a984
124755b7360
13258901b1b
1414bcb72d2
15b96c95e6
hex7671b838

1987164216 has 96 divisors (see below), whose sum is σ = 5596905600. Its totient is φ = 636168960.

The previous prime is 1987164211. The next prime is 1987164247. The reversal of 1987164216 is 6124617891.

1987164216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987164211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408921 + ... + 413751.

It is an arithmetic number, because the mean of its divisors is an integer number (58301100).

Almost surely, 21987164216 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 1987164216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798452800).

1987164216 is an abundant number, since it is smaller than the sum of its proper divisors (3609741384).

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

1987164216 is a wasteful number, since it uses less digits than its factorization.

1987164216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5062 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1987164216 is about 44577.6201249012. The cubic root of 1987164216 is about 1257.2199173591.

The spelling of 1987164216 in words is "one billion, nine hundred eighty-seven million, one hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 197 232 261 348 394 522 591 696 788 1044 1182 1576 1773 2088 2364 3546 4728 4831 5713 7092 9662 11426 14184 14493 17139 19324 22852 28986 34278 38648 43479 45704 51417 57972 68556 86958 102834 115944 137112 140099 173916 205668 280198 347832 411336 420297 560396 840594 951707 1120792 1260891 1681188 1903414 2521782 2855121 3362376 3806828 5043564 5710242 7613656 8565363 10087128 11420484 17130726 22840968 27599503 34261452 55199006 68522904 82798509 110398012 165597018 220796024 248395527 331194036 496791054 662388072 993582108 1987164216