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244853957796100 = 225215647812
BaseRepresentation
bin110111101011000110000001…
…001011010010000100000100
31012002221210212022111120000021
4313223012001023102010010
5224043141401143433400
62224432204431024524
7102401054222031412
oct6753060113220404
91162853768446007
10244853957796100
1171021a869345a4
122356640706b144
13a681824304123
144466dcd9c02b2
151d493300d871a
hexdeb1812d2104

244853957796100 has 27 divisors (see below), whose sum is σ = 531333427975231. Its totient is φ = 97941520527200.

The previous prime is 244853957796047. The next prime is 244853957796121. The reversal of 244853957796100 is 1697759358442.

The square root of 244853957796100 is 15647810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23395272701956 + 221458685094144 = 4836866^2 + 14881488^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 244853957796100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155695710 + ... + 157260490.

It is a 1-persistent number, because it is pandigital, but 2⋅244853957796100 = 489707915592200 is not.

Almost surely, 2244853957796100 is an apocalyptic number.

244853957796100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

244853957796100 is the 15647810-th square number.

It is an amenable number.

244853957796100 is an abundant number, since it is smaller than the sum of its proper divisors (286479470179131).

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

244853957796100 is an frugal number, since it uses more digits than its factorization.

244853957796100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129576 (or 1564788 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 70.

The spelling of 244853957796100 in words is "two hundred forty-four trillion, eight hundred fifty-three billion, nine hundred fifty-seven million, seven hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1564781 3129562 6259124 7823905 15647810 31295620 39119525 78239050 156478100 2448539577961 4897079155922 9794158311844 12242697889805 24485395779610 48970791559220 61213489449025 122426978898050 244853957796100