Search a number
-
+
53024241024 = 273246798561
BaseRepresentation
bin110001011000011111…
…011011010110000000
312001212100110112101200
4301120133123112000
51332043201203044
640205313301200
73554663416656
oct613037332600
9161770415350
1053024241024
112053a8900a7
12a339864800
135000490b61
1427d0246dd6
1515a5126369
hexc587db580

53024241024 has 96 divisors (see below), whose sum is σ = 152911058040. Its totient is φ = 17636720640.

The previous prime is 53024241001. The next prime is 53024241047. The reversal of 53024241024 is 42014242035.

53024241024 is a `hidden beast` number, since 5 + 3 + 0 + 242 + 410 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (53024241001) and next prime (53024241047).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488704 + ... + 587264.

Almost surely, 253024241024 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 53024241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76455529020).

53024241024 is an abundant number, since it is smaller than the sum of its proper divisors (99886817016).

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

53024241024 is a wasteful number, since it uses less digits than its factorization.

53024241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99048 (or 99033 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 53024241024 its reverse (42014242035), we get a palindrome (95038483059).

The spelling of 53024241024 in words is "fifty-three billion, twenty-four million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 467 576 934 1152 1401 1868 2802 3736 4203 5604 7472 8406 11208 14944 16812 22416 29888 33624 44832 59776 67248 89664 98561 134496 179328 197122 268992 295683 394244 537984 591366 788488 887049 1182732 1576976 1774098 2365464 3153952 3548196 4730928 6307904 7096392 9461856 12615808 14192784 18923712 28385568 37847424 46027987 56771136 92055974 113542272 138083961 184111948 276167922 368223896 414251883 552335844 736447792 828503766 1104671688 1472895584 1657007532 2209343376 2945791168 3314015064 4418686752 5891582336 6628030128 8837373504 13256060256 17674747008 26512120512 53024241024