Search a number
-
+
5411771136 = 28332233511
BaseRepresentation
bin1010000101001000…
…10001001100000000
3111222011012110101000
411002210101030000
542040403134021
62253001012000
7251052203262
oct50244211400
914864173330
105411771136
112327892832
121070484000
13683261c55
14394a4bb32
1521a192b26
hex142911300

5411771136 has 144 divisors (see below), whose sum is σ = 16079902720. Its totient is φ = 1795322880.

The previous prime is 5411771129. The next prime is 5411771161. The reversal of 5411771136 is 6311771145.

It is a happy number.

5411771136 is a `hidden beast` number, since 541 + 1 + 77 + 11 + 36 = 666.

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 5411771136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539621 + ... + 1543131.

Almost surely, 25411771136 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 5411771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8039951360).

5411771136 is an abundant number, since it is smaller than the sum of its proper divisors (10668131584).

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

5411771136 is a wasteful number, since it uses less digits than its factorization.

5411771136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3739 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 5411771136 is about 73564.7411196424. The cubic root of 5411771136 is about 1755.6844959423.

Subtracting 5411771136 from its reverse (6311771145), we obtain a palindrome (900000009).

The spelling of 5411771136 in words is "five billion, four hundred eleven million, seven hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 223 256 288 384 432 446 576 669 768 864 892 1152 1338 1728 1784 2007 2304 2676 3456 3511 3568 4014 5352 6021 6912 7022 7136 8028 10533 10704 12042 14044 14272 16056 21066 21408 24084 28088 28544 31599 32112 42132 42816 48168 56176 57088 63198 64224 84264 85632 94797 96336 112352 126396 128448 168528 171264 189594 192672 224704 252792 256896 337056 379188 385344 449408 505584 513792 674112 758376 770688 782953 898816 1011168 1348224 1516752 1541376 1565906 2022336 2348859 2696448 3033504 3131812 4044672 4697718 6067008 6263624 7046577 8089344 9395436 12134016 12527248 14093154 18790872 21139731 24268032 25054496 28186308 37581744 42279462 50108992 56372616 75163488 84558924 100217984 112745232 150326976 169117848 200435968 225490464 300653952 338235696 450980928 601307904 676471392 901961856 1352942784 1803923712 2705885568 5411771136