Search a number
-
+
5181910896 = 24317311271613
BaseRepresentation
bin1001101001101110…
…11010111101110000
3111101010200100101210
410310313122331300
541103032122041
62214110200120
7242261341641
oct46467327560
914333610353
105181910896
11221a065398
1210074b3040
13647751486
143722d56c8
15204ddb016
hex134ddaf70

5181910896 has 160 divisors (see below), whose sum is σ = 14755627008. Its totient is φ = 1559900160.

The previous prime is 5181910891. The next prime is 5181910897. The reversal of 5181910896 is 6980191815.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5181910891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3211786 + ... + 3213398.

Almost surely, 25181910896 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 5181910896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377813504).

5181910896 is an abundant number, since it is smaller than the sum of its proper divisors (9573716112).

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

5181910896 is a wasteful number, since it uses less digits than its factorization.

5181910896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The square root of 5181910896 is about 71985.4908714249. The cubic root of 5181910896 is about 1730.4669678430.

The spelling of 5181910896 in words is "five billion, one hundred eighty-one million, nine hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 127 136 186 204 248 254 272 372 381 408 496 508 527 744 762 816 1016 1054 1488 1524 1581 1613 2032 2108 2159 3048 3162 3226 3937 4216 4318 4839 6096 6324 6452 6477 7874 8432 8636 9678 11811 12648 12904 12954 15748 17272 19356 23622 25296 25808 25908 27421 31496 34544 38712 47244 50003 51816 54842 62992 66929 77424 82263 94488 100006 103632 109684 133858 150009 164526 188976 200012 200787 204851 219368 267716 300018 329052 400024 401574 409702 438736 535432 600036 614553 658104 800048 803148 819404 850051 1070864 1200072 1229106 1316208 1606296 1638808 1700102 2400144 2458212 2550153 3212592 3277616 3400204 3482467 4916424 5100306 6350381 6800408 6964934 9832848 10200612 10447401 12700762 13600816 13929868 19051143 20401224 20894802 25401524 27859736 38102286 40802448 41789604 50803048 55719472 76204572 83579208 101606096 107956477 152409144 167158416 215912954 304818288 323869431 431825908 647738862 863651816 1295477724 1727303632 2590955448 5181910896