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33425481690 = 2325897335693
BaseRepresentation
bin11111001000010100…
…000101111111011010
310012021110221101212100
4133020110011333122
51021423410403230
623204440024230
72262212622636
oct371024057732
9105243841770
1033425481690
11131a28a4137
12658a162076
1331c8c70443
141891369dc6
15d09716660
hex7c8505fda

33425481690 has 96 divisors (see below), whose sum is σ = 88018079760. Its totient is φ = 8799740928.

The previous prime is 33425481679. The next prime is 33425481697. The reversal of 33425481690 is 9618452433.

33425481690 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 548 + 16 + 90 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12358991241 + 21066490449 = 111171^2 + 145143^2 .

It is a super-2 number, since 2×334254816902 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (33425481697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5868484 + ... + 5874176.

Almost surely, 233425481690 is an apocalyptic number.

33425481690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33425481690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44009039880).

33425481690 is an abundant number, since it is smaller than the sum of its proper divisors (54592598070).

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

33425481690 is a wasteful number, since it uses less digits than its factorization.

33425481690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 33425481690 in words is "thirty-three billion, four hundred twenty-five million, four hundred eighty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 733 801 890 1335 1466 1602 2199 2670 3665 4005 4398 5693 6597 7330 8010 10995 11386 13194 17079 21990 28465 32985 34158 51237 56930 65237 65970 85395 102474 130474 170790 195711 256185 326185 391422 506677 512370 587133 652370 978555 1013354 1174266 1520031 1957110 2533385 2935665 3040062 4172969 4560093 5066770 5871330 7600155 8345938 9120186 12518907 15200310 20864845 22800465 25037814 37556721 41729690 45600930 62594535 75113442 125189070 187783605 371394241 375567210 742788482 1114182723 1856971205 2228365446 3342548169 3713942410 5570913615 6685096338 11141827230 16712740845 33425481690