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4032113388756 = 22323443234114087
BaseRepresentation
bin111010101011001100101…
…011111010110011010100
3112021110120220200212122220
4322223030223322303110
51012030232011420011
612324154411222340
7564211346211165
oct72531453726324
915243526625586
104032113388756
111315011988982
1255154a7479b0
132332c3c8880b
14dd22631b76c
156ed403e3506
hex3aaccafacd4

4032113388756 has 96 divisors (see below), whose sum is σ = 9844382435328. Its totient is φ = 1282060391040.

The previous prime is 4032113388703. The next prime is 4032113388769. The reversal of 4032113388756 is 6578833112304.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4032113388699 and 4032113388708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286222345 + ... + 286236431.

It is an arithmetic number, because the mean of its divisors is an integer number (102545650368).

Almost surely, 24032113388756 is an apocalyptic number.

4032113388756 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032113388756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922191217664).

4032113388756 is an abundant number, since it is smaller than the sum of its proper divisors (5812269046572).

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

4032113388756 is a wasteful number, since it uses less digits than its factorization.

4032113388756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16901 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 4032113388756 in words is "four trillion, thirty-two billion, one hundred thirteen million, three hundred eighty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 443 886 1329 1772 2341 2658 4682 5316 7023 9364 10189 14046 14087 20378 28092 28174 30567 40756 42261 53843 56348 61134 84522 107686 122268 161529 169044 215372 323058 324001 646116 648002 972003 1037063 1296004 1944006 2074126 3111189 3888012 4148252 6222378 6240541 12444756 12481082 18721623 23852449 24962164 32977667 37443246 47704898 65955334 71557347 74886492 95409796 98933001 131910668 143114694 143532443 197866002 286229388 287064886 395732004 430597329 574129772 758486341 861194658 1516972682 1722389316 2275459023 3033945364 4550918046 9101836092 14609106481 29218212962 43827319443 58436425924 87654638886 175309277772 336009449063 672018898126 1008028347189 1344037796252 2016056694378 4032113388756