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5348621440 = 27528129741
BaseRepresentation
bin1001111101100110…
…10111110010000000
3111210202101010021101
410332303113302000
541423221341230
62242423304144
7246354350341
oct47663276200
914722333241
105348621440
1122a51804a8
1210532ab054
13673151476
1438a4d00c8
1521486baca
hex13ecd7c80

5348621440 has 64 divisors (see below), whose sum is σ = 12832483320. Its totient is φ = 2131763200.

The previous prime is 5348621437. The next prime is 5348621471. The reversal of 5348621440 is 441268435.

It can be written as a sum of positive squares in 4 ways, for example, as 5229025344 + 119596096 = 72312^2 + 10936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5348621440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164970 + ... + 194710.

Almost surely, 25348621440 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 5348621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416241660).

5348621440 is an abundant number, since it is smaller than the sum of its proper divisors (7483861880).

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

5348621440 is a wasteful number, since it uses less digits than its factorization.

5348621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30041 (or 30029 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 5348621440 is about 73134.2699423465. The cubic root of 5348621440 is about 1748.8287607782.

Adding to 5348621440 its reverse (441268435), we get a palindrome (5789889875).

The spelling of 5348621440 in words is "five billion, three hundred forty-eight million, six hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 281 320 562 640 1124 1405 2248 2810 4496 5620 8992 11240 17984 22480 29741 35968 44960 59482 89920 118964 148705 179840 237928 297410 475856 594820 951712 1189640 1903424 2379280 3806848 4758560 8357221 9517120 16714442 19034240 33428884 41786105 66857768 83572210 133715536 167144420 267431072 334288840 534862144 668577680 1069724288 1337155360 2674310720 5348621440