Search a number
-
+
29060417652 = 223727927919
BaseRepresentation
bin11011000100001000…
…101100100001110100
32210000021022011200220
4123010020230201310
5434003431331102
621203345334340
72046100321500
oct330410544164
983007264626
1029060417652
11113629369a2
1257703373b0
132981820006
141599747300
15b513ce1bc
hex6c422c874

29060417652 has 108 divisors (see below), whose sum is σ = 79899462720. Its totient is φ = 8196840288.

The previous prime is 29060417621. The next prime is 29060417657. The reversal of 29060417652 is 25671406092.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29060417657) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3665749 + ... + 3673667.

It is an arithmetic number, because the mean of its divisors is an integer number (739809840).

Almost surely, 229060417652 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 29060417652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39949731360).

29060417652 is an abundant number, since it is smaller than the sum of its proper divisors (50839045068).

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

29060417652 is a wasteful number, since it uses less digits than its factorization.

29060417652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8098 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 29060417652 in words is "twenty-nine billion, sixty million, four hundred seventeen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1659 2212 3318 3871 6241 6636 7742 7919 11613 12482 15484 15838 18723 23226 23757 24964 31676 37446 43687 46452 47514 55433 74892 87374 95028 110866 131061 166299 174748 221732 262122 305809 332598 388031 524244 611618 625601 665196 776062 917427 1164093 1223236 1251202 1552124 1834854 1876803 2328186 2502404 3669708 3753606 4379207 4656372 7507212 8758414 13137621 17516828 26275242 30654449 49422479 52550484 61308898 91963347 98844958 122617796 148267437 183926694 197689916 296534874 345957353 367853388 593069748 691914706 1037872059 1383829412 2075744118 2421701471 4151488236 4843402942 7265104413 9686805884 14530208826 29060417652