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1986536384 = 26711339241
BaseRepresentation
bin111011001101000…
…0010001111000000
312010110000111121122
41312122002033000
513032023131014
6525042211412
7100141165160
oct16632021700
95113014548
101986536384
1192a391208
12475353b68
13258742121
1414bb925a0
15b960358e
hex766823c0

1986536384 has 56 divisors (see below), whose sum is σ = 4545165408. Its totient is φ = 843816960.

The previous prime is 1986536341. The next prime is 1986536437. The reversal of 1986536384 is 4836356891.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31004 + ... + 70244.

It is an arithmetic number, because the mean of its divisors is an integer number (81163668).

Almost surely, 21986536384 is an apocalyptic number.

1986536384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1986536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272582704).

1986536384 is an abundant number, since it is smaller than the sum of its proper divisors (2558629024).

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

1986536384 is a wasteful number, since it uses less digits than its factorization.

1986536384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39373 (or 39363 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 53.

The square root of 1986536384 is about 44570.5775596413. The cubic root of 1986536384 is about 1257.0874998450.

The spelling of 1986536384 in words is "one billion, nine hundred eighty-six million, five hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3164 3616 6328 7232 12656 25312 39241 50624 78482 156964 274687 313928 549374 627856 1098748 1255712 2197496 2511424 4394992 4434233 8789984 8868466 17579968 17736932 31039631 35473864 62079262 70947728 124158524 141895456 248317048 283790912 496634096 993268192 1986536384