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39200996772 = 223272314294733
BaseRepresentation
bin100100100000100011…
…111011110110100100
310202011222120222010100
4210200203323312210
51120240423344042
630001513224100
72555302655220
oct444043736644
9122158528110
1039200996772
1115696a390a3
127720402030
13390968b2a2
141c7c421780
1510467aa24c
hex9208fbda4

39200996772 has 144 divisors (see below), whose sum is σ = 118278800640. Its totient is φ = 10703556864.

The previous prime is 39200996753. The next prime is 39200996839. The reversal of 39200996772 is 27769900293.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8280118 + ... + 8284850.

It is an arithmetic number, because the mean of its divisors is an integer number (821380560).

Almost surely, 239200996772 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 39200996772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59139400320).

39200996772 is an abundant number, since it is smaller than the sum of its proper divisors (79077803868).

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

39200996772 is a wasteful number, since it uses less digits than its factorization.

39200996772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 39200996772 in words is "thirty-nine billion, two hundred million, nine hundred ninety-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1429 1449 1932 2858 2898 4287 4733 5716 5796 8574 9466 10003 12861 14199 17148 18932 20006 25722 28398 30009 32867 33131 40012 42597 51444 56796 60018 65734 66262 85194 90027 98601 99393 108859 120036 131468 132524 170388 180054 197202 198786 217718 230069 295803 298179 326577 360108 394404 397572 435436 460138 591606 596358 653154 690207 762013 920276 979731 1183212 1192716 1306308 1380414 1524026 1959462 2070621 2286039 2760828 3048052 3918924 4141242 4572078 6763457 6858117 8282484 9144156 13526914 13716234 20290371 27053828 27432468 40580742 47344199 60871113 81161484 94688398 121742226 142032597 155559511 189376796 243484452 284065194 311119022 426097791 466678533 568130388 622238044 852195582 933357066 1088916577 1400035599 1704391164 1866714132 2177833154 2800071198 3266749731 4355666308 5600142396 6533499462 9800249193 13066998924 19600498386 39200996772