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380442646890 = 232540011056521
BaseRepresentation
bin1011000100101000010…
…01100001100101101010
31100100222200221220010100
411202110021201211222
522213121304200030
6450434542130230
736325503066555
oct5422411414552
91310880856110
10380442646890
11137387a57559
1261895580976
1329b4c887557
14145b09c369c
159d69967360
hex589426196a

380442646890 has 48 divisors (see below), whose sum is σ = 989399044296. Its totient is φ = 101425920000.

The previous prime is 380442646861. The next prime is 380442646891. The reversal of 380442646890 is 98646244083.

380442646890 is a `hidden beast` number, since 3 + 80 + 442 + 6 + 46 + 89 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 245212145721 + 135230501169 = 495189^2 + 367737^2 .

It is not an unprimeable number, because it can be changed into a prime (380442646891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168171 + ... + 888350.

Almost surely, 2380442646890 is an apocalyptic number.

380442646890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

380442646890 is an abundant number, since it is smaller than the sum of its proper divisors (608956397406).

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

380442646890 is a wasteful number, since it uses less digits than its factorization.

380442646890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060535 (or 1060532 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 380442646890 in words is "three hundred eighty billion, four hundred forty-two million, six hundred forty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4001 8002 12003 20005 24006 36009 40010 60015 72018 120030 180045 360090 1056521 2113042 3169563 5282605 6339126 9508689 10565210 15847815 19017378 31695630 47543445 95086890 4227140521 8454281042 12681421563 21135702605 25362843126 38044264689 42271405210 63407107815 76088529378 126814215630 190221323445 380442646890