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461145426352016 = 24719429675043491
BaseRepresentation
bin110100011011010001100100…
…1010100111101011110010000
32020110210001221122102011220212
41220312203021110331132100
5440420401313121231031
64312435141223223252
7166063441361261510
oct15066431124753620
92213701848364825
10461145426352016
11123a3174a15937a
12438790a62a7b28
1316a40a9a222633
1481c37b457b840
15384a6b673c12b
hex1a368c953d790

461145426352016 has 80 divisors (see below), whose sum is σ = 1074875470709760. Its totient is φ = 187227582917760.

The previous prime is 461145426352003. The next prime is 461145426352049. The reversal of 461145426352016 is 610253624541164.

It is a happy number.

It is a super-2 number, since 2×4611454263520162 (a number of 30 digits) contains 22 as substring.

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, 88912031 + ... + 93955521.

It is an arithmetic number, because the mean of its divisors is an integer number (13435943383872).

Almost surely, 2461145426352016 is an apocalyptic number.

It is an amenable number.

461145426352016 is an abundant number, since it is smaller than the sum of its proper divisors (613730044357744).

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

461145426352016 is a wasteful number, since it uses less digits than its factorization.

461145426352016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086492 (or 5086486 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 461145426352016 in words is "four hundred sixty-one trillion, one hundred forty-five billion, four hundred twenty-six million, three hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 42967 85934 171868 300769 343736 601538 687472 816373 1203076 1632746 2406152 3265492 4812304 5043491 5714611 6530984 10086982 11429222 13061968 20173964 22858444 35304437 40347928 45716888 70608874 80695856 91433776 95826329 141217748 191652658 282435496 383305316 564870992 670784303 766610632 1341568606 1533221264 2683137212 5366274424 10732548848 216703677797 433407355594 866814711188 1516925744579 1733629422376 3033851489158 3467258844752 4117369878143 6067702978316 8234739756286 12135405956632 16469479512572 24270811913264 28821589147001 32938959025144 57643178294002 65877918050288 115286356588004 230572713176008 461145426352016