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9992002033 = 1323377112721
BaseRepresentation
bin10010100111001000…
…11101100111110001
3221210100201021222101
421103210131213301
5130430423031113
64331255140401
7502416421156
oct112344354761
927710637871
109992002033
114268252022
121b2a374701
13c33149c50
146ab08022d
153d732d2dd
hex25391d9f1

9992002033 has 32 divisors (see below), whose sum is σ = 11695283712. Its totient is φ = 8462361600.

The previous prime is 9992002021. The next prime is 9992002051. The reversal of 9992002033 is 3302002999.

It is the 40809-th star number.

It is a cyclic number.

It is not a de Polignac number, because 9992002033 - 213 = 9991993841 is a prime.

It is a super-2 number, since 2×99920020332 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9992001983 and 9992002001.

It is not an unprimeable number, because it can be changed into a prime (9992000033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779113 + ... + 791833.

It is an arithmetic number, because the mean of its divisors is an integer number (365477616).

Almost surely, 29992002033 is an apocalyptic number.

It is an amenable number.

9992002033 is a deficient number, since it is larger than the sum of its proper divisors (1703281679).

9992002033 is a wasteful number, since it uses less digits than its factorization.

9992002033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12865.

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 9992002033 is about 99960.0021658663. The cubic root of 9992002033 is about 2153.8601669189.

The spelling of 9992002033 in words is "nine billion, nine hundred ninety-two million, two thousand, thirty-three".

Divisors: 1 13 23 37 71 299 481 851 923 1633 2627 11063 12721 21229 34151 60421 165373 292583 470677 785473 903191 3803579 6118801 10825571 11741483 20773393 33418067 140732423 270054109 434434871 768615541 9992002033