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1000968463572 = 223731122108147
BaseRepresentation
bin11101001000011100101…
…11101010010011010100
310112200200012202110202020
432210032113222103110
5112344440411313242
62043501044013140
7132213634362000
oct16441627522324
93480605673666
101000968463572
11356565669a10
12141bb23911b0
1373510b135cc
1436638d05700
151b0867b86ec
hexe90e5ea4d4

1000968463572 has 96 divisors (see below), whose sum is σ = 2971335091200. Its totient is φ = 259991796960.

The previous prime is 1000968463559. The next prime is 1000968463619. The reversal of 1000968463572 is 2753648690001.

1000968463572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11008798 + ... + 11099349.

It is an arithmetic number, because the mean of its divisors is an integer number (30951407200).

It is a 1-persistent number, because it is pandigital, but 2⋅1000968463572 = 2001936927144 is not.

Almost surely, 21000968463572 is an apocalyptic number.

1000968463572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000968463572 is an abundant number, since it is smaller than the sum of its proper divisors (1970366627628).

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

1000968463572 is a wasteful number, since it uses less digits than its factorization.

1000968463572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22108186 (or 22108170 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 1000968463572 in words is "one trillion, nine hundred sixty-eight million, four hundred sixty-three thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 924 1029 1078 1372 1617 2058 2156 3234 3773 4116 6468 7546 11319 15092 22638 45276 22108147 44216294 66324441 88432588 132648882 154757029 243189617 265297764 309514058 464271087 486379234 619028116 729568851 928542174 972758468 1083299203 1459137702 1702327319 1857084348 2166598406 2918275404 3249897609 3404654638 4333196812 5106981957 6499795218 6809309276 7583094421 10213963914 11916291233 12999590436 15166188842 20427927828 22749283263 23832582466 30332377684 35748873699 45498566526 47665164932 71497747398 83414038631 90997133052 142995494796 166828077262 250242115893 333656154524 500484231786 1000968463572