Search a number
-
+
29090476728 = 23382324097
BaseRepresentation
bin11011000101111011…
…010111001010111000
32210002100212100000000
4123011323113022320
5434034130223403
621210341513000
72046613654335
oct330573271270
983070770000
1029090476728
11113788a7805
12577a412760
132987b15b51
14159d72d98c
15b53d6a7a3
hex6c5ed72b8

29090476728 has 144 divisors (see below), whose sum is σ = 85373430480. Its totient is φ = 9274839552.

The previous prime is 29090476703. The next prime is 29090476729. The reversal of 29090476728 is 82767409092.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29090476729) 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, 1195176 + ... + 1219272.

It is an arithmetic number, because the mean of its divisors is an integer number (592871045).

Almost surely, 229090476728 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 29090476728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42686715240).

29090476728 is an abundant number, since it is smaller than the sum of its proper divisors (56282953752).

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

29090476728 is an equidigital number, since it uses as much as digits as its factorization.

29090476728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24150 (or 24125 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 29090476728 in words is "twenty-nine billion, ninety million, four hundred seventy-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 729 828 972 1242 1458 1656 1863 1944 2187 2484 2916 3726 4374 4968 5589 5832 6561 7452 8748 11178 13122 14904 16767 17496 22356 24097 26244 33534 44712 48194 50301 52488 67068 72291 96388 100602 134136 144582 150903 192776 201204 216873 289164 301806 402408 433746 554231 578328 603612 650619 867492 1108462 1207224 1301238 1662693 1734984 1951857 2216924 2602476 3325386 3903714 4433848 4988079 5204952 5855571 6650772 7807428 9976158 11711142 13301544 14964237 15614856 17566713 19952316 23422284 29928474 35133426 39904632 44892711 46844568 52700139 59856948 70266852 89785422 105400278 119713896 134678133 140533704 158100417 179570844 210800556 269356266 316200834 359141688 404034399 421601112 538712532 632401668 808068798 1077425064 1212103197 1264803336 1616137596 2424206394 3232275192 3636309591 4848412788 7272619182 9696825576 14545238364 29090476728