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20018672016 = 2437438591613
BaseRepresentation
bin10010101001001101…
…001011000110010000
31220200010122220102220
4102221031023012100
5311444240001031
613110233341040
71306036622160
oct225115130620
956603586386
1020018672016
118543022642
123a68267780
131b70514775
14d7c9865a0
157c2708596
hex4a934b190

20018672016 has 160 divisors (see below), whose sum is σ = 60585169920. Its totient is φ = 5576643072.

The previous prime is 20018671927. The next prime is 20018672027. The reversal of 20018672016 is 61027681002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12410026 + ... + 12411638.

It is an arithmetic number, because the mean of its divisors is an integer number (378657312).

Almost surely, 220018672016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20018672016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30292584960).

20018672016 is an abundant number, since it is smaller than the sum of its proper divisors (40566497904).

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

20018672016 is a wasteful number, since it uses less digits than its factorization.

20018672016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 20018672016 in words is "twenty billion, eighteen million, six hundred seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 859 903 1032 1204 1613 1718 1806 2064 2408 2577 3226 3436 3612 4816 4839 5154 6013 6452 6872 7224 9678 10308 11291 12026 12904 13744 14448 18039 19356 20616 22582 24052 25808 33873 36078 36937 38712 41232 45164 48104 67746 69359 72156 73874 77424 90328 96208 110811 135492 138718 144312 147748 180656 208077 221622 258559 270984 277436 288624 295496 416154 443244 485513 517118 541968 554872 590992 775677 832308 886488 971026 1034236 1109744 1385567 1456539 1551354 1664616 1772976 1942052 2068472 2771134 2913078 3102708 3329232 3884104 4136944 4156701 5542268 5826156 6205416 7768208 8313402 9698969 11084536 11652312 12410832 16626804 19397938 22169072 23304624 29096907 33253608 38795876 58193814 59579381 66507216 77591752 116387628 119158762 155183504 178738143 232775256 238317524 357476286 417055667 465550512 476635048 714952572 834111334 953270096 1251167001 1429905144 1668222668 2502334002 2859810288 3336445336 5004668004 6672890672 10009336008 20018672016