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13820000922 = 2337133119043
BaseRepresentation
bin11001101111011110…
…00111101010011010
31022200010202210021000
430313233013222122
5211300410012142
610203202325430
7666321032610
oct146757075232
938603683230
1013820000922
115952037272
122818359876
1313c3238550
1495161d6b0
1555d42a14c
hex337bc7a9a

13820000922 has 128 divisors (see below), whose sum is σ = 37924024320. Its totient is φ = 3632713920.

The previous prime is 13820000917. The next prime is 13820000923. The reversal of 13820000922 is 22900002831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13820000923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1523733 + ... + 1532775.

It is an arithmetic number, because the mean of its divisors is an integer number (296281440).

Almost surely, 213820000922 is an apocalyptic number.

It is a pronic number, being equal to 117558×117559.

It is a practical number, because each smaller number is the sum of distinct divisors of 13820000922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962012160).

13820000922 is an abundant number, since it is smaller than the sum of its proper divisors (24104023398).

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

13820000922 is a wasteful number, since it uses less digits than its factorization.

13820000922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13820000922 in words is "thirteen billion, eight hundred twenty million, nine hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 311 351 378 546 622 702 819 933 1638 1866 2177 2457 2799 4043 4354 4914 5598 6531 8086 8397 9043 12129 13062 16794 18086 19593 24258 27129 28301 36387 39186 54258 56602 58779 63301 72774 81387 84903 109161 117558 117559 126602 162774 169806 189903 218322 235118 244161 254709 352677 379806 488322 509418 569709 705354 764127 822913 1058031 1139418 1528254 1645826 1709127 2116062 2468739 2812373 3174093 3418254 4937478 5624746 6348186 7406217 8437119 14812434 16874238 19686611 22218651 25311357 36560849 39373222 44437302 50622714 59059833 73121698 75934071 109682547 118119666 151868142 177179499 219365094 255925943 329047641 354358998 511851886 531538497 658095282 767777829 987142923 1063076994 1535555658 1974285846 2303333487 4606666974 6910000461 13820000922