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5611530160 = 245294495387
BaseRepresentation
bin1010011100111100…
…10010011110110000
3112111002002021020101
411032132102132300
542443022431120
62324454322144
7256026135145
oct51636223660
915432067211
105611530160
11241a620735
121107359354
136b5763662
143b33aa3cc
1522c9a090a
hex14e7927b0

5611530160 has 80 divisors (see below), whose sum is σ = 13529268000. Its totient is φ = 2161983488.

The previous prime is 5611530139. The next prime is 5611530161. The reversal of 5611530160 is 610351165.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5611530161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1038987 + ... + 1044373.

It is an arithmetic number, because the mean of its divisors is an integer number (169115850).

Almost surely, 25611530160 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 5611530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764634000).

5611530160 is an abundant number, since it is smaller than the sum of its proper divisors (7917737840).

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

5611530160 is a wasteful number, since it uses less digits than its factorization.

5611530160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 5611530160 is about 74910.1472432140. The cubic root of 5611530160 is about 1777.0259388327.

The spelling of 5611530160 in words is "five billion, six hundred eleven million, five hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 449 464 580 898 1160 1796 2245 2320 3592 4490 5387 7184 8980 10774 13021 17960 21548 26042 26935 35920 43096 52084 53870 65105 86192 104168 107740 130210 156223 208336 215480 260420 312446 430960 520840 624892 781115 1041680 1249784 1562230 2418763 2499568 3124460 4837526 6248920 9675052 12093815 12497840 19350104 24187630 38700208 48375260 70144127 96750520 140288254 193501040 280576508 350720635 561153016 701441270 1122306032 1402882540 2805765080 5611530160