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999661696 = 27112330869
BaseRepresentation
bin111011100101011…
…010000010000000
32120200001002001021
4323211122002000
54021403133241
6243110115224
733525661405
oct7345320200
92520032037
10999661696
114733126a0
1223a94bb14
1312c14c1c7
1496aa02ac
155cb660d1
hex3b95a080

999661696 has 64 divisors (see below), whose sum is σ = 2267092800. Its totient is φ = 434621440.

The previous prime is 999661679. The next prime is 999661757. The reversal of 999661696 is 696166999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16950 + ... + 47818.

It is an arithmetic number, because the mean of its divisors is an integer number (35423325).

Almost surely, 2999661696 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 999661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133546400).

999661696 is an abundant number, since it is smaller than the sum of its proper divisors (1267431104).

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

999661696 is a wasteful number, since it uses less digits than its factorization.

999661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30917 (or 30905 counting only the distinct ones).

The product of its digits is 8503056, while the sum is 61.

The square root of 999661696 is about 31617.4270932978. The cubic root of 999661696 is about 999.8872192810.

The spelling of 999661696 in words is "nine hundred ninety-nine million, six hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 8096 16192 30869 32384 61738 123476 246952 339559 493904 679118 709987 987808 1358236 1419974 1975616 2716472 2839948 3951232 5432944 5679896 7809857 10865888 11359792 15619714 21731776 22719584 31239428 43463552 45439168 62478856 90878336 124957712 249915424 499830848 999661696