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2045011105332 = 22321323110842883
BaseRepresentation
bin11101110000100100001…
…010010001011000110100
321020111112100011220200100
4131300210022101120310
5232001140320332312
64203244245114100
7300514165405266
oct35604412213064
97214470156610
102045011105332
11719314501498
122904060b8930
1311aac7863200
1470d9c7adb36
15382de8b15dc
hex1dc24291634

2045011105332 has 108 divisors (see below), whose sum is σ = 5778129512064. Its totient is φ = 608936253120.

The previous prime is 2045011105259. The next prime is 2045011105343. The reversal of 2045011105332 is 2335011105402.

2045011105332 is a `hidden beast` number, since 20 + 4 + 501 + 1 + 105 + 3 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2045011105296 and 2045011105305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5232838 + ... + 5610045.

Almost surely, 22045011105332 is an apocalyptic number.

It is an amenable number.

2045011105332 is an abundant number, since it is smaller than the sum of its proper divisors (3733118406732).

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

2045011105332 is a wasteful number, since it uses less digits than its factorization.

2045011105332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10842950 (or 10842932 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 2045011105332 in words is "two trillion, forty-five billion, eleven million, one hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 169 186 234 279 338 372 403 468 507 558 676 806 1014 1116 1209 1521 1612 2028 2418 3042 3627 4836 5239 6084 7254 10478 14508 15717 20956 31434 47151 62868 94302 188604 10842883 21685766 32528649 43371532 65057298 97585947 130114596 140957479 195171894 281914958 336129373 390343788 422872437 563829916 672258746 845744874 1008388119 1268617311 1344517492 1691489748 1832447227 2016776238 2537234622 3025164357 3664894454 4033552476 4369681849 5074469244 5497341681 6050328714 7329788908 8739363698 10994683362 12100657428 13109045547 16492025043 17478727396 21989366724 26218091094 32984050086 39327136641 52436182188 56805864037 65968100172 78654273282 113611728074 157308546564 170417592111 227223456148 340835184222 511252776333 681670368444 1022505552666 2045011105332