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20754061146 = 23271319166337
BaseRepresentation
bin10011010101000010…
…011101011101011010
31222120101102112200100
4103111002131131122
5320001014424041
613311223320230
71333206415620
oct232502353532
958511375610
1020754061146
118890143355
1240325b0076
131c59994a70
14100c4d3510
1581706b6b6
hex4d509d75a

20754061146 has 96 divisors (see below), whose sum is σ = 55634761728. Its totient is φ = 5444858880.

The previous prime is 20754061123. The next prime is 20754061187. The reversal of 20754061146 is 64116045702.

20754061146 is a `hidden beast` number, since 207 + 5 + 406 + 1 + 1 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20754061146.

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, 279690 + ... + 346026.

It is an arithmetic number, because the mean of its divisors is an integer number (579528768).

Almost surely, 220754061146 is an apocalyptic number.

20754061146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20754061146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27817380864).

20754061146 is an abundant number, since it is smaller than the sum of its proper divisors (34880700582).

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

20754061146 is a wasteful number, since it uses less digits than its factorization.

20754061146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66556 (or 66553 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20754061146 in words is "twenty billion, seven hundred fifty-four million, sixty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 191 234 273 382 546 573 819 1146 1337 1638 1719 2483 2674 3438 4011 4966 7449 8022 12033 14898 17381 22347 24066 34762 44694 52143 66337 104286 132674 156429 199011 312858 398022 464359 597033 862381 928718 1194066 1393077 1724762 2587143 2786154 4179231 5174286 6036667 7761429 8358462 12073334 12670367 15522858 18110001 25340734 36220002 38011101 54330003 76022202 88692569 108660006 114033303 164714771 177385138 228066606 266077707 329429542 494144313 532155414 798233121 988288626 1153003397 1482432939 1596466242 2306006794 2964865878 3459010191 6918020382 10377030573 20754061146