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233002013334432 = 2538329242220549
BaseRepresentation
bin110100111110101000000010…
…001111001001101110100000
31010112222202220221001002010120
4310332220002033021232200
5221020001110403200212
62143315351445000240
7100035561046230606
oct6476500217115640
91115882827032116
10233002013334432
11682726651a5031
12221714269b3080
13a001cc3393874
144177501433876
151be0db520588c
hexd3ea023c9ba0

233002013334432 has 48 divisors (see below), whose sum is σ = 618999324602400. Its totient is φ = 76731586717952.

The previous prime is 233002013334427. The next prime is 233002013334451. The reversal of 233002013334432 is 234433310200332.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 233002013334393 and 233002013334402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14621102307 + ... + 14621118242.

It is an arithmetic number, because the mean of its divisors is an integer number (12895819262550).

Almost surely, 2233002013334432 is an apocalyptic number.

It is an amenable number.

233002013334432 is an abundant number, since it is smaller than the sum of its proper divisors (385997311267968).

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

233002013334432 is a wasteful number, since it uses less digits than its factorization.

233002013334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29242220645 (or 29242220637 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 233002013334432 its reverse (234433310200332), we get a palindrome (467435323534764).

The spelling of 233002013334432 in words is "two hundred thirty-three trillion, two billion, thirteen million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 29242220549 58484441098 87726661647 116968882196 175453323294 233937764392 350906646588 467875528784 701813293176 935751057568 1403626586352 2427104305567 2807253172704 4854208611134 7281312916701 9708417222268 14562625833402 19416834444536 29125251666804 38833668889072 58250503333608 77667337778144 116501006667216 233002013334432