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378770304680 = 23589666115973
BaseRepresentation
bin1011000001100000111…
…10000010111010101000
31100012200011011002212222
411200300132002322220
522201210144222210
6450001002053212
736236165316365
oct5406036027250
91305604132788
10378770304680
111366a9a65059
12614a94aa208
1329944272b51
141449285b46c
159cbcc28655
hex5830782ea8

378770304680 has 64 divisors (see below), whose sum is σ = 861992182800. Its totient is φ = 149773916160.

The previous prime is 378770304673. The next prime is 378770304713. The reversal of 378770304680 is 86403077873.

It can be written as a sum of positive squares in 8 ways, for example, as 249514236196 + 129256068484 = 499514^2 + 359522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23705174 + ... + 23721146.

Almost surely, 2378770304680 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 378770304680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430996091400).

378770304680 is an abundant number, since it is smaller than the sum of its proper divisors (483221878120).

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

378770304680 is a wasteful number, since it uses less digits than its factorization.

378770304680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22734 (or 22730 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 53.

The spelling of 378770304680 in words is "three hundred seventy-eight billion, seven hundred seventy million, three hundred four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 6661 13322 15973 26644 31946 33305 53288 63892 66610 79865 127784 133220 159730 266440 319460 592829 638920 1185658 1421597 2371316 2843194 2964145 4742632 5686388 5928290 7107985 11372776 11856580 14215970 23713160 28431940 56863880 106396153 212792306 425584612 531980765 851169224 1063961530 2127923060 4255846120 9469257617 18938515234 37877030468 47346288085 75754060936 94692576170 189385152340 378770304680