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5035285968 = 243478326891
BaseRepresentation
bin1001011000010000…
…00101110111010000
3110222220210000210220
410230020011313100
540303013122333
62151351353040
7235531140006
oct45410056720
913886700726
105035285968
112154318969
12b86382780
1362326486b
1435aa48a76
151e70c68b3
hex12c205dd0

5035285968 has 80 divisors (see below), whose sum is σ = 13445139456. Its totient is φ = 1622865280.

The previous prime is 5035285943. The next prime is 5035285987. The reversal of 5035285968 is 8695825305.

It is a self number, because there is not a number n which added to its sum of digits gives 5035285968.

It is a congruent number.

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, 173803 + ... + 200693.

Almost surely, 25035285968 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 5035285968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722569728).

5035285968 is an abundant number, since it is smaller than the sum of its proper divisors (8409853488).

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

5035285968 is a wasteful number, since it uses less digits than its factorization.

5035285968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27032 (or 27026 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The square root of 5035285968 is about 70959.7489285299. The cubic root of 5035285968 is about 1713.9890647484.

The spelling of 5035285968 in words is "five billion, thirty-five million, two hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 83 94 141 166 188 249 282 332 376 498 564 664 752 996 1128 1328 1992 2256 3901 3984 7802 11703 15604 23406 26891 31208 46812 53782 62416 80673 93624 107564 161346 187248 215128 322692 430256 645384 1263877 1290768 2231953 2527754 3791631 4463906 5055508 6695859 7583262 8927812 10111016 13391718 15166524 17855624 20222032 26783436 30333048 35711248 53566872 60666096 104901791 107133744 209803582 314705373 419607164 629410746 839214328 1258821492 1678428656 2517642984 5035285968