Search a number
-
+
5339115648 = 27341313931
BaseRepresentation
bin1001111100011110…
…00111000010000000
3111210002111011210000
410332033013002000
541413303200043
62241443440000
7246210506556
oct47617070200
914702434700
105339115648
11229a878679
121050086000
136711a3839
14389137bd6
15213ae02d3
hex13e3c7080

5339115648 has 160 divisors (see below), whose sum is σ = 16014485520. Its totient is φ = 1765670400.

The previous prime is 5339115629. The next prime is 5339115671. The reversal of 5339115648 is 8465119335.

5339115648 is a `hidden beast` number, since 53 + 39 + 1 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×53391156483 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1356243 + ... + 1360173.

Almost surely, 25339115648 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 5339115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007242760).

5339115648 is an abundant number, since it is smaller than the sum of its proper divisors (10675369872).

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

5339115648 is a wasteful number, since it uses less digits than its factorization.

5339115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4067 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 5339115648 is about 73069.2524116677. The cubic root of 5339115648 is about 1747.7921160618.

The spelling of 5339115648 in words is "five billion, three hundred thirty-nine million, one hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 262 288 324 384 393 432 524 576 648 786 864 1048 1152 1179 1296 1572 1728 2096 2358 2592 3144 3456 3537 3931 4192 4716 5184 6288 7074 7862 8384 9432 10368 10611 11793 12576 14148 15724 16768 18864 21222 23586 25152 28296 31448 35379 37728 42444 47172 50304 56592 62896 70758 75456 84888 94344 106137 113184 125792 141516 150912 169776 188688 212274 226368 251584 283032 318411 339552 377376 424548 452736 503168 514961 566064 636822 679104 754752 849096 1029922 1132128 1273644 1358208 1509504 1544883 1698192 2059844 2264256 2547288 3089766 3396384 4119688 4528512 4634649 5094576 6179532 6792768 8239376 9269298 10189152 12359064 13585536 13903947 16478752 18538596 20378304 24718128 27807894 32957504 37077192 40756608 41711841 49436256 55615788 65915008 74154384 83423682 98872512 111231576 148308768 166847364 197745024 222463152 296617536 333694728 444926304 593235072 667389456 889852608 1334778912 1779705216 2669557824 5339115648