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386069141928 = 233293119193683
BaseRepresentation
bin1011001111000111000…
…00111001100110101000
31100220111211012110022110
411213203200321212220
522311132200020203
6453205133322320
736615103363311
oct5474340714650
91326454173273
10386069141928
11139804a69558
12629a59363a0
132a53845a562
1414985d67608
15a0988c1d03
hex59e38399a8

386069141928 has 128 divisors (see below), whose sum is σ = 1036070092800. Its totient is φ = 119613177600.

The previous prime is 386069141911. The next prime is 386069141981. The reversal of 386069141928 is 829141960683.

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, 4074175 + ... + 4167857.

It is an arithmetic number, because the mean of its divisors is an integer number (8094297600).

Almost surely, 2386069141928 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 386069141928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518035046400).

386069141928 is an abundant number, since it is smaller than the sum of its proper divisors (650000950872).

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

386069141928 is a wasteful number, since it uses less digits than its factorization.

386069141928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93943 (or 93939 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 386069141928 in words is "three hundred eighty-six billion, sixty-nine million, one hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 191 232 248 348 372 382 573 696 744 764 899 1146 1528 1798 2292 2697 3596 4584 5394 5539 5921 7192 10788 11078 11842 16617 17763 21576 22156 23684 33234 35526 44312 47368 66468 71052 93683 132936 142104 171709 187366 281049 343418 374732 515127 562098 686836 749464 1030254 1124196 1373672 2060508 2248392 2716807 2904173 4121016 5433614 5808346 8150421 8712519 10867228 11616692 16300842 17425038 17893453 21734456 23233384 32601684 34850076 35786906 53680359 65203368 69700152 71573812 84221017 107360718 143147624 168442034 214721436 252663051 336884068 429442872 505326102 518910137 554697043 673768136 1010652204 1037820274 1109394086 1556730411 1664091129 2021304408 2075640548 2218788172 3113460822 3328182258 4151281096 4437576344 6226921644 6656364516 12453843288 13312729032 16086214247 32172428494 48258642741 64344856988 96517285482 128689713976 193034570964 386069141928