Search a number
-
+
48038415165 = 32513372219377
BaseRepresentation
bin101100101111010100…
…000000101100111101
311120222212202100002200
4230233110000230331
51241340313241130
634022445542113
73320302535346
oct545724005475
9146885670080
1048038415165
1119411484364
129387b74939
1346b7555a40
142479dd50cd
1513b256e760
hexb2f500b3d

48038415165 has 48 divisors (see below), whose sum is σ = 92095309488. Its totient is φ = 23010490368.

The previous prime is 48038415107. The next prime is 48038415169. The reversal of 48038415165 is 56151483084.

48038415165 is a `hidden beast` number, since 48 + 0 + 38 + 415 + 165 = 666.

48038415165 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 8 ways, for example, as 4908263481 + 43130151684 = 70059^2 + 207678^2 .

It is not a de Polignac number, because 48038415165 - 28 = 48038414909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 48038415165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48038415169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088044 + ... + 1131333.

It is an arithmetic number, because the mean of its divisors is an integer number (1918652281).

Almost surely, 248038415165 is an apocalyptic number.

48038415165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48038415165 is a deficient number, since it is larger than the sum of its proper divisors (44056894323).

48038415165 is a wasteful number, since it uses less digits than its factorization.

48038415165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219438 (or 2219435 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

It can be divided in two parts, 48038 and 415165, that added together give a triangular number (463203 = T962).

The spelling of 48038415165 in words is "forty-eight billion, thirty-eight million, four hundred fifteen thousand, one hundred sixty-five".

Divisors: 1 3 5 9 13 15 37 39 45 65 111 117 185 195 333 481 555 585 1443 1665 2405 4329 7215 21645 2219377 6658131 11096885 19974393 28851901 33290655 82116949 86555703 99871965 144259505 246350847 259667109 410584745 432778515 739052541 1067520337 1231754235 1298335545 3202561011 3695262705 5337601685 9607683033 16012805055 48038415165