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2032434233190 = 233579398923887
BaseRepresentation
bin11101100100110110100…
…001010011111101100110
321012022001211120121112000
4131210312201103331212
5231244411130430230
64153404251110130
7266560420636464
oct35446641237546
97168054517460
102032434233190
11713a50159289
12289a96142346
1311987203cb2a
1470528309834
1537d05690b60
hex1d936853f66

2032434233190 has 128 divisors (see below), whose sum is σ = 5490035712000. Its totient is φ = 534965378688.

The previous prime is 2032434233171. The next prime is 2032434233191. The reversal of 2032434233190 is 913324342302.

2032434233190 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 43 + 423 + 3 + 190 = 666.

It is a super-2 number, since 2×20324342331902 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032434233191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85073427 + ... + 85097313.

It is an arithmetic number, because the mean of its divisors is an integer number (42890904000).

Almost surely, 22032434233190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032434233190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745017856000).

2032434233190 is an abundant number, since it is smaller than the sum of its proper divisors (3457601478810).

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

2032434233190 is a wasteful number, since it uses less digits than its factorization.

2032434233190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27971 (or 27965 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 2032434233190 its reverse (913324342302), we get a palindrome (2945758575492).

The spelling of 2032434233190 in words is "two trillion, thirty-two billion, four hundred thirty-four million, two hundred thirty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 711 790 1185 1422 2133 2370 3555 3989 4266 7110 7978 10665 11967 19945 21330 23887 23934 35901 39890 47774 59835 71661 71802 107703 119435 119670 143322 179505 214983 215406 238870 315131 358305 359010 429966 538515 630262 644949 716610 945393 1074915 1077030 1289898 1575655 1887073 1890786 2149830 2836179 3151310 3224745 3774146 4726965 5661219 5672358 6449490 8508537 9435365 9453930 11322438 14180895 16983657 17017074 18870730 28306095 28361790 33967314 42542685 50950971 56612190 84918285 85085370 95285243 101901942 169836570 190570486 254754855 285855729 476426215 509509710 571711458 857567187 952852430 1429278645 1715134374 2572701561 2858557290 4287835935 5145403122 7527534197 8575671870 12863507805 15055068394 22582602591 25727015610 37637670985 45165205182 67747807773 75275341970 112913012955 135495615546 203243423319 225826025910 338739038865 406486846638 677478077730 1016217116595 2032434233190