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42456928685800 = 2352212284643429
BaseRepresentation
bin10011010011101010001100…
…01001110000111011101000
312120022211202100201002222211
421221311012021300323220
521031103242220421200
6230144235504454504
711641261162225516
oct1151650611607350
9176284670632884
1042456928685800
1112589978436512
12491852b61a434
131a8c895804065
14a6acd7b334b6
154d96073b6aba
hex269d46270ee8

42456928685800 has 24 divisors (see below), whose sum is σ = 98712359194950. Its totient is φ = 16982771474240.

The previous prime is 42456928685767. The next prime is 42456928685803. The reversal of 42456928685800 is 858682965424.

It can be written as a sum of positive squares in 3 ways, for example, as 27712664975524 + 14744263710276 = 5264282^2 + 3839826^2 .

It is a super-2 number, since 2×424569286858002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42456928685803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106142321515 + ... + 106142321914.

Almost surely, 242456928685800 is an apocalyptic number.

42456928685800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42456928685800 is an abundant number, since it is smaller than the sum of its proper divisors (56255430509150).

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

42456928685800 is a wasteful number, since it uses less digits than its factorization.

42456928685800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212284643445 (or 212284643436 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 67.

The spelling of 42456928685800 in words is "forty-two trillion, four hundred fifty-six billion, nine hundred twenty-eight million, six hundred eighty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 212284643429 424569286858 849138573716 1061423217145 1698277147432 2122846434290 4245692868580 5307116085725 8491385737160 10614232171450 21228464342900 42456928685800