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393048932989152 = 253111013685202267
BaseRepresentation
bin101100101011110011101011…
…0000001111011100011100000
31220112200002222221100112200010
41121113213112001323203200
5403004203203321123102
63511540104225124520
7145534563653130066
oct13127472601734340
91815602887315603
10393048932989152
111042681309a9360
12380bb624489740
1313b414808c1b9b
146d0b954150036
1530691887a7d6c
hex16579d607b8e0

393048932989152 has 96 divisors (see below), whose sum is σ = 1136693269160064. Its totient is φ = 117926472512000.

The previous prime is 393048932989033. The next prime is 393048932989177. The reversal of 393048932989152 is 251989239840393.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 1842494478 + ... + 1842707789.

It is an arithmetic number, because the mean of its divisors is an integer number (11840554887084).

Almost surely, 2393048932989152 is an apocalyptic number.

393048932989152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

393048932989152 is an abundant number, since it is smaller than the sum of its proper divisors (743644336170912).

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

393048932989152 is a wasteful number, since it uses less digits than its factorization.

393048932989152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685202392 (or 3685202384 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 75.

The spelling of 393048932989152 in words is "three hundred ninety-three trillion, forty-eight billion, nine hundred thirty-two million, nine hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2222 2424 3232 3333 4444 4848 6666 8888 9696 13332 17776 26664 35552 53328 106656 3685202267 7370404534 11055606801 14740809068 22111213602 29481618136 40537224937 44222427204 58963236272 81074449874 88444854408 117926472544 121611674811 162148899748 176889708816 243223349622 324297799496 353779417632 372205428967 486446699244 648595598992 744410857934 972893398488 1116616286901 1297191197984 1488821715868 1945786796976 2233232573802 2977643431736 3891573593952 4094259718637 4466465147604 5955286863472 8188519437274 8932930295208 11910573726944 12282779155911 16377038874548 17865860590416 24565558311822 32754077749096 35731721180832 49131116623644 65508155498192 98262233247288 131016310996384 196524466494576 393048932989152