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35013413352 = 23365913031699
BaseRepresentation
bin100000100110111101…
…100100100111101000
310100101010220200121010
4200212331210213220
51033201413211402
624030202543520
72346444050211
oct404675444750
9110333820533
1035013413352
1113938182755
126951b07ba0
1333bcc3c088
1419a21dc408
15d9dd2ea6c
hex826f649e8

35013413352 has 64 divisors (see below), whose sum is σ = 87785280000. Its totient is φ = 11637630144.

The previous prime is 35013413329. The next prime is 35013413381. The reversal of 35013413352 is 25331431053.

It is a super-2 number, since 2×350134133522 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 20607399 + ... + 20609097.

It is an arithmetic number, because the mean of its divisors is an integer number (1371645000).

Almost surely, 235013413352 is an apocalyptic number.

It is an amenable number.

35013413352 is an abundant number, since it is smaller than the sum of its proper divisors (52771866648).

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

35013413352 is a wasteful number, since it uses less digits than its factorization.

35013413352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 35013413352 in words is "thirty-five billion, thirteen million, four hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 659 1303 1318 1699 1977 2606 2636 3398 3909 3954 5097 5212 5272 6796 7818 7908 10194 10424 13592 15636 15816 20388 31272 40776 858677 1119641 1717354 2213797 2239282 2576031 3358923 3434708 4427594 4478564 5152062 6641391 6717846 6869416 8855188 8957128 10304124 13282782 13435692 17710376 20608248 26565564 26871384 53131128 1458892223 2917784446 4376676669 5835568892 8753353338 11671137784 17506706676 35013413352