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1599142068 = 22331923311093
BaseRepresentation
bin101111101010000…
…1111100010110100
311010110001211112000
41133110033202310
511233340021233
6422403055300
754425324526
oct13724174264
94113054460
101599142068
11750746117
12387671530
131c63c5414
1411254da16
15955ced13
hex5f50f8b4

1599142068 has 192 divisors, whose sum is σ = 4705075200. Its totient is φ = 467026560.

The previous prime is 1599142063. The next prime is 1599142079. The reversal of 1599142068 is 8602419951.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1599142063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1462530 + ... + 1463622.

It is an arithmetic number, because the mean of its divisors is an integer number (24505600).

Almost surely, 21599142068 is an apocalyptic number.

1599142068 is a gapful number since it is divisible by the number (18) 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 1599142068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352537600).

1599142068 is an abundant number, since it is smaller than the sum of its proper divisors (3105933132).

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

1599142068 is a wasteful number, since it uses less digits than its factorization.

1599142068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1599142068 is about 39989.2744120220. The cubic root of 1599142068 is about 1169.3980072103.

The spelling of 1599142068 in words is "one billion, five hundred ninety-nine million, one hundred forty-two thousand, sixty-eight".