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5675835152 = 241317294421
BaseRepresentation
bin1010100100100111…
…00101111100010000
3112122120002022002202
411102103211330100
543111003211102
62335112502332
7260436542231
oct52223457420
915576068082
105675835152
112452951a59
1211249aa9a8
136c5b89c50
143bbb49088
15233453e02
hex1524e5f10

5675835152 has 60 divisors (see below), whose sum is σ = 12580598436. Its totient is φ = 2465495040.

The previous prime is 5675835149. The next prime is 5675835161. The reversal of 5675835152 is 2515385765.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 244734736 + 5431100416 = 15644^2 + 73696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5675835097 and 5675835106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12902 + ... + 107322.

Almost surely, 25675835152 is an apocalyptic number.

5675835152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5675835152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290299218).

5675835152 is an abundant number, since it is smaller than the sum of its proper divisors (6904763284).

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

5675835152 is a wasteful number, since it uses less digits than its factorization.

5675835152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94476 (or 94453 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 47.

The square root of 5675835152 is about 75338.1387611879. The cubic root of 5675835152 is about 1783.7880813649.

The spelling of 5675835152 in words is "five billion, six hundred seventy-five million, eight hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 289 442 578 884 1156 1768 2312 3536 3757 4624 7514 15028 30056 60112 94421 188842 377684 755368 1227473 1510736 1605157 2454946 3210314 4909892 6420628 9819784 12841256 19639568 20867041 25682512 27287669 41734082 54575338 83468164 109150676 166936328 218301352 333872656 354739697 436602704 709479394 1418958788 2837917576 5675835152