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5355443244100 = 22521937286126627
BaseRepresentation
bin100110111101110100101…
…0010101100110001000100
3200221222100001021202221111
41031323221102230301010
51200220421432302400
615220131234454404
71061626606325545
oct115735122546104
920858301252844
105355443244100
11178525a105754
12725b07134404
132cb029594091
141472c20da4cc
15944925833ba
hex4dee94acc44

5355443244100 has 144 divisors (see below), whose sum is σ = 12568443693120. Its totient is φ = 1973817331200.

The previous prime is 5355443244029. The next prime is 5355443244113. The reversal of 5355443244100 is 14423445535.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201114987 + ... + 201141613.

It is an arithmetic number, because the mean of its divisors is an integer number (87280858980).

Almost surely, 25355443244100 is an apocalyptic number.

5355443244100 is a gapful number since it is divisible by the number (50) 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 5355443244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284221846560).

5355443244100 is an abundant number, since it is smaller than the sum of its proper divisors (7213000449020).

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

5355443244100 is a wasteful number, since it uses less digits than its factorization.

5355443244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29558 (or 29551 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 5355443244100 its reverse (14423445535), we get a palindrome (5369866689635).

The spelling of 5355443244100 in words is "five trillion, three hundred fifty-five billion, four hundred forty-three million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 148 185 190 370 380 475 703 740 925 950 1406 1850 1900 2812 2861 3515 3700 5722 7030 11444 14060 14305 17575 26627 28610 35150 53254 54359 57220 70300 71525 105857 106508 108718 133135 143050 211714 217436 266270 271795 286100 423428 505913 529285 532540 543590 665675 985199 1011826 1058570 1087180 1331350 1358975 1970398 2011283 2023652 2117140 2529565 2646425 2662700 2717950 3940796 4022566 4925995 5059130 5292850 5435900 8045132 9851990 10056415 10118260 10585700 12647825 18718781 19703980 20112830 24629975 25295650 37437562 40225660 49259950 50282075 50591300 74875124 76179847 93593905 98519900 100564150 152359694 187187810 201128300 304719388 374375620 380899235 467969525 761798470 935939050 1447417093 1523596940 1871878100 1904496175 2818654339 2894834186 3808992350 5637308678 5789668372 7237085465 7617984700 11274617356 14093271695 14474170930 28186543390 28948341860 36185427325 53554432441 56373086780 70466358475 72370854650 107108864882 140932716950 144741709300 214217729764 267772162205 281865433900 535544324410 1071088648820 1338860811025 2677721622050 5355443244100