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5001831328 = 251353892549
BaseRepresentation
bin1001010100010000…
…11110001110100000
3110220120211100200011
410222020132032200
540220432100303
62144154334304
7234643602424
oct45210361640
913816740604
105001831328
1121374489aa
12b7712a394
13619350310
1435641ab84
151e41b916d
hex12a21e3a0

5001831328 has 96 divisors (see below), whose sum is σ = 10930626000. Its totient is φ = 2238652416.

The previous prime is 5001831319. The next prime is 5001831343. The reversal of 5001831328 is 8231381005.

It can be written as a sum of positive squares in 8 ways, for example, as 2534921104 + 2466910224 = 50348^2 + 49668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5001831328.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1960998 + ... + 1963546.

Almost surely, 25001831328 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 5001831328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465313000).

5001831328 is an abundant number, since it is smaller than the sum of its proper divisors (5928794672).

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

5001831328 is a wasteful number, since it uses less digits than its factorization.

5001831328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 5001831328 is about 70723.6263776116. The cubic root of 5001831328 is about 1710.1846896490.

The spelling of 5001831328 in words is "five billion, one million, eight hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 89 104 106 178 208 212 356 416 424 689 712 848 1157 1378 1424 1696 2314 2549 2756 2848 4628 4717 5098 5512 9256 9434 10196 11024 18512 18868 20392 22048 33137 37024 37736 40784 61321 66274 75472 81568 122642 132548 135097 150944 226861 245284 265096 270194 453722 490568 530192 540388 907444 981136 1060384 1080776 1756261 1814888 1962272 2161552 2949193 3512522 3629776 4323104 5898386 7025044 7259552 11796772 12023633 14050088 23593544 24047266 28100176 47187088 48094532 56200352 94374176 96189064 156307229 192378128 312614458 384756256 625228916 1250457832 2500915664 5001831328