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1681554432 = 21033071783
BaseRepresentation
bin110010000111010…
…0111110000000000
311100012010211000210
41210032213300000
511420434220212
6434505314120
756445656025
oct14416476000
94305124023
101681554432
11793214808
123ab195940
1320a4bb82c
1411d48354c
159c95d53c
hex643a7c00

1681554432 has 88 divisors (see below), whose sum is σ = 4499076736. Its totient is φ = 558379008.

The previous prime is 1681554389. The next prime is 1681554437. The reversal of 1681554432 is 2344551861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681554437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942213 + ... + 943995.

It is an arithmetic number, because the mean of its divisors is an integer number (51125872).

Almost surely, 21681554432 is an apocalyptic number.

1681554432 is a gapful number since it is divisible by the number (12) 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 1681554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249538368).

1681554432 is an abundant number, since it is smaller than the sum of its proper divisors (2817522304).

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

1681554432 is a wasteful number, since it uses less digits than its factorization.

1681554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2095 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 1681554432 is about 41006.7608084326. The cubic root of 1681554432 is about 1189.1509212804.

The spelling of 1681554432 in words is "one billion, six hundred eighty-one million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 307 384 512 614 768 921 1024 1228 1536 1783 1842 2456 3072 3566 3684 4912 5349 7132 7368 9824 10698 14264 14736 19648 21396 28528 29472 39296 42792 57056 58944 78592 85584 114112 117888 157184 171168 228224 235776 314368 342336 456448 471552 547381 684672 912896 943104 1094762 1369344 1642143 1825792 2189524 2738688 3284286 4379048 5477376 6568572 8758096 13137144 17516192 26274288 35032384 52548576 70064768 105097152 140129536 210194304 280259072 420388608 560518144 840777216 1681554432