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381930574658616 = 233697675142079
BaseRepresentation
bin101011011010111010010010…
…0001110110011110000111000
31212002022012120102121201000000
41112311310210032303300320
5400030022304103033431
63432144252255513000
7143306400453501414
oct12665644416636070
91762265512551000
10381930574658616
11100770935537955
1236a04854828760
1313515b8b448c29
146a457776d1d44
152e24d563289e6
hex15b5d243b3c38

381930574658616 has 112 divisors (see below), whose sum is σ = 1084757531356800. Its totient is φ = 125997715164672.

The previous prime is 381930574658573. The next prime is 381930574658617. The reversal of 381930574658616 is 616856475039183.

381930574658616 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 30 + 5 + 7 + 4 + 6 + 586 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381930574658617) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 337005336 + ... + 338136743.

It is an arithmetic number, because the mean of its divisors is an integer number (9685335101400).

Almost surely, 2381930574658616 is an apocalyptic number.

381930574658616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381930574658616 is an abundant number, since it is smaller than the sum of its proper divisors (702826956698184).

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

381930574658616 is an equidigital number, since it uses as much as digits as its factorization.

381930574658616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675142200 (or 675142181 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 381930574658616 in words is "three hundred eighty-one trillion, nine hundred thirty billion, five hundred seventy-four million, six hundred fifty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 243 291 324 388 486 582 648 729 776 873 972 1164 1458 1746 1944 2328 2619 2916 3492 5238 5832 6984 7857 10476 15714 20952 23571 31428 47142 62856 70713 94284 141426 188568 282852 565704 675142079 1350284158 2025426237 2700568316 4050852474 5401136632 6076278711 8101704948 12152557422 16203409896 18228836133 24305114844 36457672266 48610229688 54686508399 65488781663 72915344532 109373016798 130977563326 145830689064 164059525197 196466344989 218746033596 261955126652 328119050394 392932689978 437492067192 492178575591 523910253304 589399034967 656238100788 785865379956 984357151182 1178798069934 1312476201576 1571730759912 1768197104901 1968714302364 2357596139868 3536394209802 3937428604728 4715192279736 5304591314703 7072788419604 10609182629406 14145576839208 15913773944109 21218365258812 31827547888218 42436730517624 47741321832327 63655095776436 95482643664654 127310191552872 190965287329308 381930574658616