Search a number
-
+
10778977360 = 245677199021
BaseRepresentation
bin10100000100111101…
…00010010001010000
31000211012112210011201
422002132202101100
5134033404233420
64541330520544
7531053536654
oct120236422120
930735483151
1010778977360
1146314a7258
122109a36154
13102a1bc618
147437b8a64
1543148110a
hex2827a2450

10778977360 has 40 divisors (see below), whose sum is σ = 25098266376. Its totient is φ = 4305200640.

The previous prime is 10778977333. The next prime is 10778977361. The reversal of 10778977360 is 6377987701.

It can be written as a sum of positive squares in 4 ways, for example, as 1345128976 + 9433848384 = 36676^2 + 97128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10778977361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45351 + ... + 153670.

Almost surely, 210778977360 is an apocalyptic number.

10778977360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10778977360 is an abundant number, since it is smaller than the sum of its proper divisors (14319289016).

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

10778977360 is a wasteful number, since it uses less digits than its factorization.

10778977360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199711 (or 199705 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 55.

The spelling of 10778977360 in words is "ten billion, seven hundred seventy-eight million, nine hundred seventy-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 677 1354 2708 3385 5416 6770 10832 13540 27080 54160 199021 398042 796084 995105 1592168 1990210 3184336 3980420 7960840 15921680 134737217 269474434 538948868 673686085 1077897736 1347372170 2155795472 2694744340 5389488680 10778977360