Search a number
-
+
855277235344 = 2472330292
BaseRepresentation
bin11000111001000100111…
…11101110110010010000
310000202121202000020120101
430130202133232302100
5103003101433012334
61452524155222144
7115535365356400
oct14344237566220
93022552006511
10855277235344
112aa7a277a874
12119912747954
136286313515c
142d5778c2800
15173ab102214
hexc7227eec90

855277235344 has 45 divisors (see below), whose sum is σ = 1927704888057. Its totient is φ = 366536288832.

The previous prime is 855277235341. The next prime is 855277235447. The reversal of 855277235344 is 443532772558.

The square root of 855277235344 is 924812.

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

855277235344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 466041744 + 854811193600 = 21588^2 + 924560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (855277235341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25878222 + ... + 25911250.

Almost surely, 2855277235344 is an apocalyptic number.

855277235344 is the 924812-nd square number.

It is an amenable number.

855277235344 is an abundant number, since it is smaller than the sum of its proper divisors (1072427652713).

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

855277235344 is an frugal number, since it uses more digits than its factorization.

855277235344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66080 (or 33038 counting only the distinct ones).

The product of its digits is 28224000, while the sum is 55.

The spelling of 855277235344 in words is "eight hundred fifty-five billion, two hundred seventy-seven million, two hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 33029 66058 132116 231203 264232 462406 528464 924812 1618421 1849624 3236842 3699248 6473684 12947368 25894736 1090914841 2181829682 4363659364 7636403887 8727318728 15272807774 17454637456 30545615548 53454827209 61091231096 106909654418 122182462192 213819308836 427638617672 855277235344