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2016051424434 = 232235983211981
BaseRepresentation
bin11101010101100110000…
…001110110110010110010
321010201210002102200211100
4131111212001312302302
5231012333131040214
64142054454425230
7265440430234605
oct35254601666262
97121702380740
102016051424434
1170800351a613
12286883662216
13118160b84158
146d8125aa33c
1537697280309
hex1d566076cb2

2016051424434 has 144 divisors (see below), whose sum is σ = 4692195293760. Its totient is φ = 624238697280.

The previous prime is 2016051424417. The next prime is 2016051424459. The reversal of 2016051424434 is 4344241506102.

2016051424434 is a `hidden beast` number, since 2 + 0 + 1 + 605 + 1 + 4 + 2 + 4 + 43 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168264724 + ... + 168276704.

It is an arithmetic number, because the mean of its divisors is an integer number (32584689540).

Almost surely, 22016051424434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016051424434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346097646880).

2016051424434 is an abundant number, since it is smaller than the sum of its proper divisors (2676143869326).

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

2016051424434 is a wasteful number, since it uses less digits than its factorization.

2016051424434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12237 (or 12151 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2016051424434 in words is "two trillion, sixteen billion, fifty-one million, four hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 59 69 83 118 138 166 177 207 249 354 414 498 531 747 1062 1357 1494 1909 2714 3818 4071 4897 5727 6889 8142 9794 11454 11981 12213 13778 14691 17181 20667 23962 24426 29382 34362 35943 41334 44073 62001 71886 88146 107829 112631 124002 158447 215658 225262 275563 316894 337893 406451 475341 551126 675786 706879 812902 826689 950682 994423 1013679 1219353 1413758 1426023 1653378 1988846 2027358 2120637 2438706 2480067 2852046 2983269 3658059 4241274 4960134 5966538 6361911 7316118 8949807 9348373 12723822 16258217 17899614 18696746 22871729 28045119 32516434 45743458 48774651 56090238 58670957 68615187 82537109 84135357 97549302 117341914 137230374 146323953 165074218 168270714 176012871 205845561 247611327 292647906 352025742 411691122 495222654 528038613 742833981 1056077226 1349432011 1485667962 1898353507 2698864022 3796707014 4048296033 4869689431 5695060521 8096592066 9739378862 11390121042 12144888099 14609068293 17085181563 24289776198 29218136586 34170363126 43827204879 87654409758 112002856913 224005713826 336008570739 672017141478 1008025712217 2016051424434