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5381269632 = 27327436287
BaseRepresentation
bin1010000001011111…
…11010100010000000
3111220000210211011200
411000233322202000
542010101112012
62245551141200
7250232015514
oct50057724200
914800724150
105381269632
11231164a582
121062214800
13679b4291b
1439098c144
1521766a3dc
hex140bfa880

5381269632 has 96 divisors (see below), whose sum is σ = 15508471680. Its totient is φ = 1791057408.

The previous prime is 5381269627. The next prime is 5381269637. The reversal of 5381269632 is 2369621835.

5381269632 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 2 + 6 + 9 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (5381269627) and next prime (5381269637).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5381269637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 852793 + ... + 859079.

It is an arithmetic number, because the mean of its divisors is an integer number (161546580).

Almost surely, 25381269632 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 5381269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754235840).

5381269632 is an abundant number, since it is smaller than the sum of its proper divisors (10127202048).

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

5381269632 is a wasteful number, since it uses less digits than its factorization.

5381269632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7035 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 5381269632 is about 73357.1375668380. The cubic root of 5381269632 is about 1752.3798513346.

The spelling of 5381269632 in words is "five billion, three hundred eighty-one million, two hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 743 1152 1486 2229 2972 4458 5944 6287 6687 8916 11888 12574 13374 17832 18861 23776 25148 26748 35664 37722 47552 50296 53496 56583 71328 75444 95104 100592 106992 113166 142656 150888 201184 213984 226332 285312 301776 402368 427968 452664 603552 804736 855936 905328 1207104 1810656 2414208 3621312 4671241 7242624 9342482 14013723 18684964 28027446 37369928 42041169 56054892 74739856 84082338 112109784 149479712 168164676 224219568 298959424 336329352 448439136 597918848 672658704 896878272 1345317408 1793756544 2690634816 5381269632