Search a number
-
+
5011262160 = 2435195571973
BaseRepresentation
bin1001010101011000…
…11100101011010000
3110221020120111100020
410222230130223100
540230340342120
62145132423440
7235120011522
oct45254345320
913836514306
105011262160
1121417aa483
12b7a317b80
1361b2a2aa8
14357793a12
151e4e2d640
hex12ab1cad0

5011262160 has 160 divisors (see below), whose sum is σ = 16390200960. Its totient is φ = 1263089664.

The previous prime is 5011262117. The next prime is 5011262167. The reversal of 5011262160 is 612621105.

It is a super-2 number, since 2×50112621602 = 50225496872495731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5011262160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5011262167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2538934 + ... + 2540906.

It is an arithmetic number, because the mean of its divisors is an integer number (102438756).

Almost surely, 25011262160 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 5011262160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195100480).

5011262160 is an abundant number, since it is smaller than the sum of its proper divisors (11378938800).

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

5011262160 is a wasteful number, since it uses less digits than its factorization.

5011262160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5011262160 is about 70790.2688227697. The cubic root of 5011262160 is about 1711.2588521197.

Adding to 5011262160 its reverse (612621105), we get a palindrome (5623883265).

The spelling of 5011262160 in words is "five billion, eleven million, two hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 557 570 760 912 1114 1140 1520 1671 1973 2228 2280 2785 3342 3946 4456 4560 5570 5919 6684 7892 8355 8912 9865 10583 11140 11838 13368 15784 16710 19730 21166 22280 23676 26736 29595 31568 31749 33420 37487 39460 42332 44560 47352 52915 59190 63498 66840 74974 78920 84664 94704 105830 112461 118380 126996 133680 149948 157840 158745 169328 187435 211660 224922 236760 253992 299896 317490 374870 423320 449844 473520 507984 562305 599792 634980 749740 846640 899688 1098961 1124610 1269960 1499480 1799376 2197922 2249220 2539920 2998960 3296883 4395844 4498440 5494805 6593766 8791688 8996880 10989610 13187532 16484415 17583376 20880259 21979220 26375064 32968830 41760518 43958440 52750128 62640777 65937660 83521036 87916880 104401295 125281554 131875320 167042072 208802590 250563108 263750640 313203885 334084144 417605180 501126216 626407770 835210360 1002252432 1252815540 1670420720 2505631080 5011262160