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855275511100 = 225247241775289
BaseRepresentation
bin11000111001000100110…
…01001001110100111100
310000202121121202122100111
430130202121021310330
5103003101012323400
61452524054235404
7115535344615423
oct14344231116474
93022547678314
10855275511100
112aa7a180237a
12119912055b64
13628629803aa
142d5775942ba
15173aadb13ba
hexc722649d3c

855275511100 has 72 divisors (see below), whose sum is σ = 1896245507520. Its totient is φ = 334688286720.

The previous prime is 855275511091. The next prime is 855275511107. The reversal of 855275511100 is 1115572558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855275511107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11322256 + ... + 11397544.

It is an arithmetic number, because the mean of its divisors is an integer number (26336743160).

Almost surely, 2855275511100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855275511100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948122753760).

855275511100 is an abundant number, since it is smaller than the sum of its proper divisors (1040969996420).

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

855275511100 is a wasteful number, since it uses less digits than its factorization.

855275511100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77767 (or 77760 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 40.

The spelling of 855275511100 in words is "eight hundred fifty-five billion, two hundred seventy-five million, five hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 2417 4700 4834 9668 12085 24170 48340 60425 75289 113599 120850 150578 227198 241700 301156 376445 454396 567995 752890 1135990 1505780 1882225 2271980 2839975 3538583 3764450 5679950 7077166 7528900 11359900 14154332 17692915 35385830 70771660 88464575 176929150 181973513 353858300 363947026 727894052 909867565 1819735130 3639470260 4549337825 8552755111 9098675650 17105510222 18197351300 34211020444 42763775555 85527551110 171055102220 213818877775 427637755550 855275511100