Search a number
-
+
29720086188 = 223131774315083
BaseRepresentation
bin11011101011011101…
…001000011010101100
32211201020120210210220
4123223131020122230
5441331320224223
621353032331340
72101330364412
oct335335103254
984636523726
1029720086188
1111671239701
125915243b50
132a583aaa20
14161d1c32b2
15b8e2866e3
hex6eb7486ac

29720086188 has 96 divisors (see below), whose sum is σ = 79185931776. Its totient is φ = 8594568192.

The previous prime is 29720086183. The next prime is 29720086189. The reversal of 29720086188 is 88168002792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 29720086188.

It is not an unprimeable number, because it can be changed into a prime (29720086183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962895 + ... + 1977977.

It is an arithmetic number, because the mean of its divisors is an integer number (824853456).

Almost surely, 229720086188 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 29720086188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39592965888).

29720086188 is an abundant number, since it is smaller than the sum of its proper divisors (49465845588).

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

29720086188 is a wasteful number, since it uses less digits than its factorization.

29720086188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15863 (or 15861 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 29720086188 in words is "twenty-nine billion, seven hundred twenty million, eighty-six thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 743 884 1326 1486 2229 2652 2972 4458 8916 9659 12631 15083 19318 25262 28977 30166 37893 38636 45249 50524 57954 60332 75786 90498 115908 151572 164203 180996 196079 256411 328406 392158 492609 512822 588237 656812 769233 784316 985218 1025644 1176474 1538466 1970436 2352948 3076932 3333343 6666686 10000029 11206669 13333372 20000058 22413338 33620007 40000116 44826676 67240014 134480028 145686697 190513373 291373394 381026746 437060091 571540119 582746788 762053492 874120182 1143080238 1748240364 2286160476 2476673849 4953347698 7430021547 9906695396 14860043094 29720086188