Search a number
-
+
5105801376 = 2532131399811
BaseRepresentation
bin1001100000101010…
…00101100010100000
3111011211110120202200
410300111011202200
540424041121001
62202351013200
7240345411204
oct46025054240
914154416680
105105801376
112190101165
12ba5b0a200
13634a53b60
14366162b04
151ed3a5086
hex1305458a0

5105801376 has 144 divisors (see below), whose sum is σ = 15750614880. Its totient is φ = 1559554560.

The previous prime is 5105801341. The next prime is 5105801411. The reversal of 5105801376 is 6731085015.

5105801376 is a `hidden beast` number, since 5 + 1 + 0 + 580 + 1 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (5105801341) and next prime (5105801411).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 5105801376.

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 23 ways as a sum of consecutive naturals, for example, 515511 + ... + 525321.

It is an arithmetic number, because the mean of its divisors is an integer number (109379270).

Almost surely, 25105801376 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 5105801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7875307440).

5105801376 is an abundant number, since it is smaller than the sum of its proper divisors (10644813504).

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

5105801376 is a wasteful number, since it uses less digits than its factorization.

5105801376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5105801376 is about 71454.8904974320. The cubic root of 5105801376 is about 1721.9530473991.

The spelling of 5105801376 in words is "five billion, one hundred five million, eight hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 139 144 156 208 234 278 288 312 416 417 468 556 624 834 936 1112 1248 1251 1668 1807 1872 2224 2502 3336 3614 3744 4448 5004 5421 6672 7228 9811 10008 10842 13344 14456 16263 19622 20016 21684 28912 29433 32526 39244 40032 43368 57824 58866 65052 78488 86736 88299 117732 127543 130104 156976 173472 176598 235464 255086 260208 313952 353196 382629 470928 510172 520416 706392 765258 941856 1020344 1147887 1363729 1412784 1530516 2040688 2295774 2727458 2825568 3061032 4081376 4091187 4591548 5454916 6122064 8182374 9183096 10909832 12244128 12273561 16364748 17728477 18366192 21819664 24547122 32729496 35456954 36732384 43639328 49094244 53185431 65458992 70913908 98188488 106370862 130917984 141827816 159556293 196376976 212741724 283655632 319112586 392753952 425483448 567311264 638225172 850966896 1276450344 1701933792 2552900688 5105801376