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581173114420 = 225317349925733
BaseRepresentation
bin10000111010100001001…
…11011111011000110100
32001120002221202011200201
420131100213133120310
534010220304130140
61122553124450244
756663003651533
oct10352047373064
92046087664621
10581173114420
11204524087828
1294775849984
1342a5c322822
14201b3ad031a
15101b70cb49a
hex87509df634

581173114420 has 96 divisors (see below), whose sum is σ = 1279700352000. Its totient is φ = 221435182080.

The previous prime is 581173114397. The next prime is 581173114429. The reversal of 581173114420 is 24411371185.

581173114420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 581173114420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581173114429) 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, 22571874 + ... + 22597606.

It is an arithmetic number, because the mean of its divisors is an integer number (13330212000).

Almost surely, 2581173114420 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 581173114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639850176000).

581173114420 is an abundant number, since it is smaller than the sum of its proper divisors (698527237580).

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

581173114420 is a wasteful number, since it uses less digits than its factorization.

581173114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26345 (or 26343 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 581173114420 in words is "five hundred eighty-one billion, one hundred seventy-three million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 292 310 365 499 620 730 998 1460 1996 2263 2495 4526 4990 9052 9980 11315 15469 22630 25733 30938 36427 45260 51466 61876 72854 77345 102932 128665 145708 154690 182135 257330 309380 364270 514660 728540 797723 1129237 1595446 1878509 2258474 3190892 3757018 3988615 4516948 5646185 7514036 7977230 9392545 11292370 12840767 15954460 18785090 22584740 25681534 37570180 51363068 58233779 64203835 116467558 128407670 232935116 256815340 291168895 398063777 582337790 796127554 937375991 1164675580 1592255108 1874751982 1990318885 3749503964 3980637770 4686879955 7961275540 9373759910 18747519820 29058655721 58117311442 116234622884 145293278605 290586557210 581173114420