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71460818550 = 232521117980651
BaseRepresentation
bin100001010001101100…
…1011000111001110110
320211110020010201012100
41002203121120321312
52132322432143200
652454553202530
75106602635602
oct1024331307166
9224406121170
1071460818550
1128340850730
1211a24100446
13697ac9b824
14365ca3a502
151cd39bad00
hex10a3658e76

71460818550 has 144 divisors (see below), whose sum is σ = 210617858880. Its totient is φ = 17226840000.

The previous prime is 71460818521. The next prime is 71460818551. The reversal of 71460818550 is 5581806417.

71460818550 is a `hidden beast` number, since 7 + 1 + 460 + 8 + 185 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71460818496 and 71460818505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71460818551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 845725 + ... + 926375.

It is an arithmetic number, because the mean of its divisors is an integer number (1462624020).

Almost surely, 271460818550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71460818550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105308929440).

71460818550 is an abundant number, since it is smaller than the sum of its proper divisors (139157040330).

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

71460818550 is a wasteful number, since it uses less digits than its factorization.

71460818550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80859 (or 80851 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 71460818550 in words is "seventy-one billion, four hundred sixty million, eight hundred eighteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 179 198 225 275 330 358 450 495 537 550 825 895 990 1074 1611 1650 1790 1969 2475 2685 3222 3938 4475 4950 5370 5907 8055 8950 9845 11814 13425 16110 17721 19690 26850 29535 35442 40275 49225 59070 80550 80651 88605 98450 147675 161302 177210 241953 295350 403255 443025 483906 725859 806510 886050 887161 1209765 1451718 1774322 2016275 2419530 2661483 3629295 4032550 4435805 5322966 6048825 7258590 7984449 8871610 12097650 13307415 14436529 15968898 18146475 22179025 26614830 28873058 36292950 39922245 43309587 44358050 66537075 72182645 79844490 86619174 129928761 133074150 144365290 158801819 199611225 216547935 259857522 317603638 360913225 399222450 433095870 476405457 649643805 721826450 794009095 952810914 1082739675 1299287610 1429216371 1588018190 2165479350 2382027285 2858432742 3248219025 3970045475 4764054570 6496438050 7146081855 7940090950 11910136425 14292163710 23820272850 35730409275 71460818550