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20629650672 = 2433193597001
BaseRepresentation
bin10011001101100111…
…110111110011110000
31222020201022211121000
4103031213313303300
5314222142310142
613251021002000
71330136065101
oct231547676360
958221284530
1020629650672
118826999984
123bb89b3300
131c39c854b7
14dd9b8a3a8
1580b19414c
hex4cd9f7cf0

20629650672 has 160 divisors (see below), whose sum is σ = 62513856000. Its totient is φ = 6495552000.

The previous prime is 20629650649. The next prime is 20629650677. The reversal of 20629650672 is 27605692602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20629650677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943172 + ... + 2950172.

It is an arithmetic number, because the mean of its divisors is an integer number (390711600).

Almost surely, 220629650672 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 20629650672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256928000).

20629650672 is an abundant number, since it is smaller than the sum of its proper divisors (41884205328).

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

20629650672 is a wasteful number, since it uses less digits than its factorization.

20629650672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 20629650672 in words is "twenty billion, six hundred twenty-nine million, six hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 359 432 456 513 684 718 912 1026 1077 1368 1436 2052 2154 2736 2872 3231 4104 4308 5744 6462 6821 7001 8208 8616 9693 12924 13642 14002 17232 19386 20463 21003 25848 27284 28004 38772 40926 42006 51696 54568 56008 61389 63009 77544 81852 84012 109136 112016 122778 126018 133019 155088 163704 168024 184167 189027 245556 252036 266038 327408 336048 368334 378054 399057 491112 504072 532076 736668 756108 798114 982224 1008144 1064152 1197171 1473336 1512216 1596228 2128304 2394342 2513359 2946672 3024432 3192456 3591513 4788684 5026718 6384912 7183026 7540077 9577368 10053436 14366052 15080154 19154736 20106872 22620231 28732104 30160308 40213744 45240462 47753821 57464208 60320616 67860693 90480924 95507642 120641232 135721386 143261463 180961848 191015284 271442772 286522926 361923696 382030568 429784389 542885544 573045852 764061136 859568778 1085771088 1146091704 1289353167 1719137556 2292183408 2578706334 3438275112 5157412668 6876550224 10314825336 20629650672