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318220081992 = 233219234992
BaseRepresentation
bin1001010000101110110…
…01010001101101001000
31010102101022020002111200
410220113121101231020
520203203320110432
6402104400424200
731663535032041
oct4502731215510
91112338202450
10318220081992
11112a57a385aa
125180b318060
1324014828007
141158ac9b8c8
15842703ba7c
hex4a17651b48

318220081992 has 108 divisors (see below), whose sum is σ = 909853791795. Its totient is φ = 100461832416.

The previous prime is 318220081987. The next prime is 318220082003. The reversal of 318220081992 is 299180022813.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 159110040996 + 159110040996 = 398886^2 + 398886^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=398886.

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 26 ways as a sum of consecutive naturals, for example, 90944259 + ... + 90947757.

Almost surely, 2318220081992 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 318220081992

318220081992 is an abundant number, since it is smaller than the sum of its proper divisors (591633709803).

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

318220081992 is an equidigital number, since it uses as much as digits as its factorization.

318220081992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 318220081992 in words is "three hundred eighteen billion, two hundred twenty million, eighty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 3499 4332 6498 6998 8664 10497 12996 13996 20994 25992 27992 31491 41988 62982 66481 83976 125964 132962 199443 251928 265924 398886 531848 598329 797772 1196658 1263139 1595544 2393316 2526278 3789417 4786632 5052556 7578834 10105112 11368251 12243001 15157668 22736502 24486002 30315336 36729003 45473004 48972004 73458006 90946008 97944008 110187009 146916012 220374018 232617019 293832024 440748036 465234038 697851057 881496072 930468076 1395702114 1860936152 2093553171 2791404228 4187106342 4419723361 5582808456 8374212684 8839446722 13259170083 16748425368 17678893444 26518340166 35357786888 39777510249 53036680332 79555020498 106073360664 159110040996 318220081992