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5634237852 = 223517349977
BaseRepresentation
bin1010011111101001…
…11010010110011100
3112112122210221100000
411033310322112130
543014331102402
62331025134300
7256423142265
oct51764722634
915478727300
105634237852
112431420321
121112a8a390
136ba384369
143b63db96c
1522e988c1c
hex14fd3a59c

5634237852 has 144 divisors (see below), whose sum is σ = 15699247200. Its totient is φ = 1760735232.

The previous prime is 5634237823. The next prime is 5634237859. The reversal of 5634237852 is 2587324365.

5634237852 is a `hidden beast` number, since 5 + 634 + 2 + 3 + 7 + 8 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5634237798 and 5634237807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5634237859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5766388 + ... + 5767364.

It is an arithmetic number, because the mean of its divisors is an integer number (109022550).

Almost surely, 25634237852 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 5634237852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849623600).

5634237852 is an abundant number, since it is smaller than the sum of its proper divisors (10065009348).

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

5634237852 is a wasteful number, since it uses less digits than its factorization.

5634237852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1348 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5634237852 is about 75061.5604154350. The cubic root of 5634237852 is about 1779.4196917381.

The spelling of 5634237852 in words is "five billion, six hundred thirty-four million, two hundred thirty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 349 459 486 612 698 918 972 977 1047 1377 1396 1836 1954 2094 2754 2931 3141 3908 4131 4188 5508 5862 5933 6282 8262 8793 9423 11724 11866 12564 16524 16609 17586 17799 18846 23732 26379 28269 33218 35172 35598 37692 49827 52758 53397 56538 66436 71196 79137 84807 99654 105516 106794 113076 149481 158274 160191 169614 199308 213588 237411 298962 316548 320382 339228 340973 448443 474822 480573 597924 640764 681946 896886 949644 961146 1022919 1345329 1363892 1441719 1793772 1922292 2045838 2690658 2883438 3068757 4035987 4091676 5381316 5766876 5796541 6137514 8071974 9206271 11593082 12275028 16143948 17389623 18412542 23186164 27618813 34779246 36825084 52168869 55237626 69558492 82856439 104337738 110475252 156506607 165712878 208675476 313013214 331425756 469519821 626026428 939039642 1408559463 1878079284 2817118926 5634237852