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386080146804 = 2231131157959753
BaseRepresentation
bin1011001111001000010…
…10111000010101110100
31100220112120220120011110
411213210022320111310
522311143004144204
6453210205235020
736615266046432
oct5474412702564
91326476816143
10386080146804
111398101a56a0
12629a9562a70
132a53a811611
14149875cdd52
15a099847889
hex59e42b8574

386080146804 has 96 divisors (see below), whose sum is σ = 1015110512640. Its totient is φ = 113146387200.

The previous prime is 386080146743. The next prime is 386080146833. The reversal of 386080146804 is 408641080683.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6431392 + ... + 6491144.

It is an arithmetic number, because the mean of its divisors is an integer number (10574067840).

Almost surely, 2386080146804 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 386080146804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507555256320).

386080146804 is an abundant number, since it is smaller than the sum of its proper divisors (629030365836).

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

386080146804 is a wasteful number, since it uses less digits than its factorization.

386080146804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61381 (or 61379 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 386080146804 in words is "three hundred eighty-six billion, eighty million, one hundred forty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 1579 2046 3158 4092 4737 6316 9474 17369 18948 34738 48949 52107 59753 69476 97898 104214 119506 146847 179259 195796 208428 239012 293694 358518 538439 587388 657283 717036 1076878 1314566 1615317 1852343 1971849 2153756 2629132 3230634 3704686 3943698 5557029 6461268 7409372 7887396 11114058 20375773 22228116 40751546 61127319 81503092 94349987 122254638 188699974 244509276 283049961 377399948 566099922 1037849857 1132199844 2075699714 2924849597 3113549571 4151399428 5849699194 6227099142 8774548791 11699398388 12454198284 17549097582 32173345567 35098195164 64346691134 96520036701 128693382268 193040073402 386080146804