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60020352384 = 273737927103
BaseRepresentation
bin110111111001011111…
…011110010110000000
312201220220212210222020
4313321133132112000
51440410202234014
643323432241440
74223234402046
oct677137362600
9181826783866
1060020352384
11234aaa19113
12b770840280
135876a34b15
142c95470396
1518644231a9
hexdf97de580

60020352384 has 128 divisors (see below), whose sum is σ = 163664793600. Its totient is φ = 19482218496.

The previous prime is 60020352373. The next prime is 60020352421. The reversal of 60020352384 is 48325302006.

It is a happy number.

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

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, 2200977 + ... + 2228079.

It is an arithmetic number, because the mean of its divisors is an integer number (1278631200).

Almost surely, 260020352384 is an apocalyptic number.

60020352384 is a gapful number since it is divisible by the number (64) 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 60020352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81832396800).

60020352384 is an abundant number, since it is smaller than the sum of its proper divisors (103644441216).

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

60020352384 is a wasteful number, since it uses less digits than its factorization.

60020352384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27272 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 60020352384 in words is "sixty billion, twenty million, three hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 79 96 128 146 158 192 219 237 292 316 384 438 474 584 632 876 948 1168 1264 1752 1896 2336 2528 3504 3792 4672 5056 5767 7008 7584 9344 10112 11534 14016 15168 17301 23068 27103 28032 30336 34602 46136 54206 69204 81309 92272 108412 138408 162618 184544 216824 276816 325236 369088 433648 553632 650472 738176 867296 1107264 1300944 1734592 1978519 2141137 2214528 2601888 3469184 3957038 4282274 5203776 5935557 6423411 7914076 8564548 10407552 11871114 12846822 15828152 17129096 23742228 25693644 31656304 34258192 47484456 51387288 63312608 68516384 94968912 102774576 126625216 137032768 156303001 189937824 205549152 253250432 274065536 312606002 379875648 411098304 468909003 625212004 759751296 822196608 937818006 1250424008 1875636012 2500848016 3751272024 5001696032 7502544048 10003392064 15005088096 20006784128 30010176192 60020352384