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5019177312 = 25349719963
BaseRepresentation
bin1001010110010101…
…01001000101100000
3110221210110121220000
410223022221011200
540234402133222
62150014220000
7235244206002
oct45312510540
913853417800
105019177312
112146216226
12b80ab4600
1361cb14706
14358854372
151e59939ac
hex12b2a9160

5019177312 has 120 divisors (see below), whose sum is σ = 14914186056. Its totient is φ = 1655728128.

The previous prime is 5019177311. The next prime is 5019177343. The reversal of 5019177312 is 2137719105.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5019177311) 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 19 ways as a sum of consecutive naturals, for example, 241443 + ... + 261405.

Almost surely, 25019177312 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 5019177312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7457093028).

5019177312 is an abundant number, since it is smaller than the sum of its proper divisors (9895008744).

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

5019177312 is a wasteful number, since it uses less digits than its factorization.

5019177312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20082 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 5019177312 is about 70846.1524149336. The cubic root of 5019177312 is about 1712.1593404259.

The spelling of 5019177312 in words is "five billion, nineteen million, one hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 97 108 144 162 194 216 288 291 324 388 432 582 648 776 864 873 1164 1296 1552 1746 2328 2592 2619 3104 3492 4656 5238 6984 7857 9312 10476 13968 15714 19963 20952 27936 31428 39926 41904 59889 62856 79852 83808 119778 125712 159704 179667 239556 251424 319408 359334 479112 539001 638816 718668 958224 1078002 1437336 1617003 1916448 1936411 2156004 2874672 3234006 3872822 4312008 5749344 5809233 6468012 7745644 8624016 11618466 12936024 15491288 17248032 17427699 23236932 25872048 30982576 34855398 46473864 51744096 52283097 61965152 69710796 92947728 104566194 139421592 156849291 185895456 209132388 278843184 313698582 418264776 557686368 627397164 836529552 1254794328 1673059104 2509588656 5019177312