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5176770336 = 2532532291481
BaseRepresentation
bin1001101001000111…
…10011111100100000
3111100210000011212200
410310203303330200
541100223122321
62213404053200
7242166551613
oct46443637440
914323004780
105176770336
1122171741a1
121005834200
1364667171a
1437175817a
15204722d26
hex1348f3f20

5176770336 has 144 divisors (see below), whose sum is σ = 15074874360. Its totient is φ = 1684500480.

The previous prime is 5176770329. The next prime is 5176770337. The reversal of 5176770336 is 6330776715.

It is a happy number.

5176770336 is a `hidden beast` number, since 517 + 67 + 70 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5161560336 + 15210000 = 71844^2 + 3900^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51767703362 = 53597902223379105792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5176770291 and 5176770300.

It is not an unprimeable number, because it can be changed into a prime (5176770337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3494716 + ... + 3496196.

Almost surely, 25176770336 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 5176770336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537437180).

5176770336 is an abundant number, since it is smaller than the sum of its proper divisors (9898104024).

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

5176770336 is a wasteful number, since it uses less digits than its factorization.

5176770336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 5176770336 is about 71949.7764833220. The cubic root of 5176770336 is about 1729.8945591567.

The spelling of 5176770336 in words is "five billion, one hundred seventy-six million, seven hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 229 288 318 424 458 477 636 687 848 916 954 1272 1374 1481 1696 1832 1908 2061 2544 2748 2962 3664 3816 4122 4443 5088 5496 5924 7328 7632 8244 8886 10992 11848 12137 13329 15264 16488 17772 21984 23696 24274 26658 32976 35544 36411 47392 48548 53316 65952 71088 72822 78493 97096 106632 109233 142176 145644 156986 194192 213264 218466 235479 291288 313972 339149 388384 426528 436932 470958 582576 627944 678298 706437 873864 941916 1017447 1165152 1255888 1356596 1412874 1747728 1883832 2034894 2511776 2713192 2825748 3052341 3495456 3767664 4069788 5426384 5651496 6104682 7535328 8139576 10852768 11302992 12209364 16279152 17974897 22605984 24418728 32558304 35949794 48837456 53924691 71899588 97674912 107849382 143799176 161774073 215698764 287598352 323548146 431397528 575196704 647096292 862795056 1294192584 1725590112 2588385168 5176770336