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380265420648 = 23329743735341
BaseRepresentation
bin1011000100010011001…
…01011101011101101000
31100100112100110212102110
411202021211131131220
522212240421430043
6450405211402320
736321221513151
oct5421145353550
91310470425373
10380265420648
111372a6a09893
12618461533a0
1329b21c45059
141459524c928
159d5910ab33
hex588995d768

380265420648 has 64 divisors (see below), whose sum is σ = 984770006400. Its totient is φ = 122219390720.

The previous prime is 380265420607. The next prime is 380265420653. The reversal of 380265420648 is 846024562083.

It is a junction number, because it is equal to n+sod(n) for n = 380265420597 and 380265420606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149458 + ... + 884798.

It is an arithmetic number, because the mean of its divisors is an integer number (15387031350).

Almost surely, 2380265420648 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 380265420648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492385003200).

380265420648 is an abundant number, since it is smaller than the sum of its proper divisors (604504585752).

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

380265420648 is a wasteful number, since it uses less digits than its factorization.

380265420648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736122 (or 736118 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 380265420648 in words is "three hundred eighty billion, two hundred sixty-five million, four hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 743 1486 2229 2972 4458 5944 8916 17832 21547 43094 64641 86188 129282 172376 258564 517128 735341 1470682 2206023 2941364 4412046 5882728 8824092 17648184 21324889 42649778 63974667 85299556 127949334 170599112 255898668 511797336 546358363 1092716726 1639075089 2185433452 3278150178 4370866904 6556300356 13112600712 15844392527 31688785054 47533177581 63377570108 95066355162 126755140216 190132710324 380265420648