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70456353768 = 2334108728941
BaseRepresentation
bin100000110011110000…
…1101010001111101000
320201212020001121120000
41001213201222033220
52123243311310033
652211152103000
75042655061053
oct1014741521750
9221766047500
1070456353768
1127975858449
12117a3834a60
13684ab5a378
1435a5489a9a
151c75706a13
hex106786a3e8

70456353768 has 40 divisors (see below), whose sum is σ = 197343029730. Its totient is φ = 23485451040.

The previous prime is 70456353757. The next prime is 70456353797. The reversal of 70456353768 is 86735365407.

70456353768 is a `hidden beast` number, since 7 + 0 + 4 + 563 + 5 + 3 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70404254244 + 52099524 = 265338^2 + 7218^2 .

It is a super-3 number, since 3×704563537683 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 9 ways as a sum of consecutive naturals, for example, 54363823 + ... + 54365118.

Almost surely, 270456353768 is an apocalyptic number.

It is an amenable number.

70456353768 is an abundant number, since it is smaller than the sum of its proper divisors (126886675962).

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

70456353768 is a wasteful number, since it uses less digits than its factorization.

70456353768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108728959 (or 108728946 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 70456353768 in words is "seventy billion, four hundred fifty-six million, three hundred fifty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 108728941 217457882 326186823 434915764 652373646 869831528 978560469 1304747292 1957120938 2609494584 2935681407 3914241876 5871362814 7828483752 8807044221 11742725628 17614088442 23485451256 35228176884 70456353768