Search a number
-
+
5038411896 = 233473135831
BaseRepresentation
bin1001011000101000…
…00001000001111000
3111000010122211210000
410230110001001320
540304313140041
62151542353000
7235566536340
oct45424010170
914003584700
105038411896
112156063481
12b8742b760
13623aba61b
1435b21dd20
151e74e2bb6
hex12c501078

5038411896 has 160 divisors (see below), whose sum is σ = 16648980480. Its totient is φ = 1393070400.

The previous prime is 5038411879. The next prime is 5038411909. The reversal of 5038411896 is 6981148305.

5038411896 is a `hidden beast` number, since 503 + 8 + 41 + 18 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122701 + ... + 158531.

It is an arithmetic number, because the mean of its divisors is an integer number (104056128).

Almost surely, 25038411896 is an apocalyptic number.

5038411896 is a gapful number since it is divisible by the number (56) 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 5038411896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324490240).

5038411896 is an abundant number, since it is smaller than the sum of its proper divisors (11610568584).

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

5038411896 is a wasteful number, since it uses less digits than its factorization.

5038411896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35887 (or 35874 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5038411896 is about 70981.7715755249. The cubic root of 5038411896 is about 1714.3436753974.

The spelling of 5038411896 in words is "five billion, thirty-eight million, four hundred eleven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 837 868 1116 1134 1302 1512 1674 1736 1953 2232 2268 2511 2604 3348 3906 4536 5022 5208 5859 6696 7812 10044 11718 15624 17577 20088 23436 35154 35831 46872 70308 71662 107493 140616 143324 214986 250817 286648 322479 429972 501634 644958 752451 859944 967437 1003268 1110761 1289916 1504902 1934874 2006536 2221522 2257353 2579832 2902311 3009804 3332283 3869748 4443044 4514706 5804622 6019608 6664566 6772059 7739496 7775327 8886088 9029412 9996849 11609244 13329132 13544118 15550654 18058824 19993698 20316177 23218488 23325981 26658264 27088236 29990547 31101308 39987396 40632354 46651962 54176472 59981094 62202616 69977943 79974792 81264708 89971641 93303924 119962188 139955886 162529416 179943282 186607848 209933829 239924376 279911772 359886564 419867658 559823544 629801487 719773128 839735316 1259602974 1679470632 2519205948 5038411896