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71530444728 = 23322325933167
BaseRepresentation
bin100001010011110001…
…0111111011110111000
320211122002011002100200
41002213202333132320
52132443243212403
652505521402200
75111406514431
oct1024742773670
9224562132320
1071530444728
1128377086926
1211a43499360
13698c539152
143667da2488
151cd9b70ca3
hex10a78bf7b8

71530444728 has 144 divisors (see below), whose sum is σ = 202923040320. Its totient is φ = 22761159168.

The previous prime is 71530444697. The next prime is 71530444747. The reversal of 71530444728 is 82744403517.

71530444728 is a `hidden beast` number, since 7 + 1 + 530 + 4 + 44 + 72 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22584601 + ... + 22587767.

It is an arithmetic number, because the mean of its divisors is an integer number (1409187780).

Almost surely, 271530444728 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 71530444728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101461520160).

71530444728 is an abundant number, since it is smaller than the sum of its proper divisors (131392595592).

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

71530444728 is a wasteful number, since it uses less digits than its factorization.

71530444728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 71530444728 in words is "seventy-one billion, five hundred thirty million, four hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 593 828 1058 1186 1587 1656 1779 2116 2372 3167 3174 3558 4232 4744 4761 5337 6334 6348 7116 9501 9522 10674 12668 12696 13639 14232 19002 19044 21348 25336 27278 28503 38004 38088 40917 42696 54556 57006 72841 76008 81834 109112 114012 122751 145682 163668 218523 228024 245502 291364 313697 327336 437046 491004 582728 627394 655569 874092 941091 982008 1254788 1311138 1675343 1748184 1878031 1882182 2509576 2622276 2823273 3350686 3756062 3764364 5026029 5244552 5634093 5646546 6701372 7512124 7528728 10052058 11268186 11293092 13402744 15024248 15078087 16902279 20104116 22536372 22586184 30156174 33804558 40208232 43194713 45072744 60312348 67609116 86389426 120624696 129584139 135218232 172778852 259168278 345557704 388752417 518336556 777504834 993478399 1036673112 1555009668 1986956798 2980435197 3110019336 3973913596 5960870394 7947827192 8941305591 11921740788 17882611182 23843481576 35765222364 71530444728