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120163078784 = 2771493492579
BaseRepresentation
bin110111111101001000…
…1110001001010000000
3102111011101000212112102
41233322101301022000
53432043222010114
6131111355445532
711452516213520
oct1577221611200
9374141025472
10120163078784
1146a62a1a681
121b3564568a8
13b43cc152a8
145b5cc77680
1531d446a2de
hex1bfa471280

120163078784 has 128 divisors (see below), whose sum is σ = 276318000000. Its totient is φ = 50986487808.

The previous prime is 120163078781. The next prime is 120163078813. The reversal of 120163078784 is 487870361021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (120163078781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46591607 + ... + 46594185.

It is an arithmetic number, because the mean of its divisors is an integer number (2158734375).

Almost surely, 2120163078784 is an apocalyptic number.

120163078784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120163078784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138159000000).

120163078784 is an abundant number, since it is smaller than the sum of its proper divisors (156154921216).

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

120163078784 is a wasteful number, since it uses less digits than its factorization.

120163078784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 120163078784 in words is "one hundred twenty billion, one hundred sixty-three million, seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 298 349 448 596 698 896 1043 1192 1396 2086 2384 2443 2579 2792 4172 4768 4886 5158 5584 8344 9536 9772 10316 11168 16688 18053 19072 19544 20632 22336 33376 36106 39088 41264 44672 52001 66752 72212 78176 82528 104002 133504 144424 156352 165056 208004 288848 312704 330112 364007 384271 416008 577696 728014 768542 832016 900071 1155392 1456028 1537084 1664032 1800142 2310784 2689897 2912056 3074168 3328064 3600284 5379794 5824112 6148336 6300497 6656128 7200568 10759588 11648224 12296672 12600994 14401136 21519176 23296448 24593344 25201988 28802272 43038352 46592896 49186688 50403976 57604544 86076704 100807952 115209088 134110579 172153408 201615904 268221158 344306816 403231808 536442316 806463616 938774053 1072884632 1877548106 2145769264 3755096212 4291538528 7510192424 8583077056 15020384848 17166154112 30040769696 60081539392 120163078784