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3381193512 = 2332175352121
BaseRepresentation
bin1100100110001000…
…1110101100101000
322201122022102112100
43021202032230220
523411041143022
61315302413400
7146534446014
oct31142165450
98648272470
103381193512
111485660804
127a4431260
1341b66ca28
142410b3544
1514bc901ac
hexc988eb28

3381193512 has 96 divisors (see below), whose sum is σ = 9879203880. Its totient is φ = 1040732160.

The previous prime is 3381193451. The next prime is 3381193531. The reversal of 3381193512 is 2153911833.

It can be written as a sum of positive squares in 4 ways, for example, as 3380957316 + 236196 = 58146^2 + 486^2 .

It is a super-2 number, since 2×33811935122 = 22864939131181788288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38812 + ... + 90932.

Almost surely, 23381193512 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 3381193512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939601940).

3381193512 is an abundant number, since it is smaller than the sum of its proper divisors (6498010368).

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

3381193512 is a wasteful number, since it uses less digits than its factorization.

3381193512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52203 (or 52196 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 3381193512 is about 58148.0310242746. The cubic root of 3381193512 is about 1500.9169966306.

The spelling of 3381193512 in words is "three billion, three hundred eighty-one million, one hundred ninety-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 306 318 408 424 477 612 636 901 954 1224 1272 1802 1908 2703 3604 3816 5406 7208 8109 10812 16218 21624 32436 52121 64872 104242 156363 208484 312726 416968 469089 625452 886057 938178 1250904 1772114 1876356 2658171 2762413 3544228 3752712 5316342 5524826 7088456 7974513 8287239 10632684 11049652 15949026 16574478 21265368 22099304 24861717 31898052 33148956 46961021 49723434 63796104 66297912 93922042 99446868 140883063 187844084 198893736 281766126 375688168 422649189 563532252 845298378 1127064504 1690596756 3381193512