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73271507712 = 2831320293617
BaseRepresentation
bin100010000111101010…
…0100111101100000000
321000010102021020202220
41010033110213230000
52200030001221322
653354354411040
75202510353004
oct1041724475400
9230112236686
1073271507712
112908a946257
121224a590a80
136ba9162030
1437912d6704
151d8c93655c
hex110f527b00

73271507712 has 144 divisors (see below), whose sum is σ = 210171356640. Its totient is φ = 22527737856.

The previous prime is 73271507623. The next prime is 73271507719. The reversal of 73271507712 is 21770517237.

It is not an unprimeable number, because it can be changed into a prime (73271507719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20255728 + ... + 20259344.

It is an arithmetic number, because the mean of its divisors is an integer number (1459523310).

Almost surely, 273271507712 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 73271507712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105085678320).

73271507712 is an abundant number, since it is smaller than the sum of its proper divisors (136899848928).

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

73271507712 is a wasteful number, since it uses less digits than its factorization.

73271507712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 144060, while the sum is 42.

The spelling of 73271507712 in words is "seventy-three billion, two hundred seventy-one million, five hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2029 2496 3328 3617 4058 4992 6087 7234 8116 9984 10851 12174 14468 16232 21702 24348 26377 28936 32464 43404 47021 48696 52754 57872 64928 79131 86808 94042 97392 105508 115744 129856 141063 158262 173616 188084 194784 211016 231488 259712 282126 316524 347232 376168 389568 422032 462976 519424 564252 633048 694464 752336 779136 844064 925952 1128504 1266096 1388928 1504672 1558272 1688128 2257008 2532192 2777856 3009344 3376256 4514016 5064384 6018688 6752512 7338893 9028032 10128768 12037376 14677786 18056064 20257536 22016679 29355572 36112128 44033358 58711144 88066716 95405609 117422288 176133432 190811218 234844576 286216827 352266864 381622436 469689152 572433654 704533728 763244872 939378304 1144867308 1409067456 1526489744 1878756608 2289734616 2818134912 3052979488 4579469232 5636269824 6105958976 9158938464 12211917952 18317876928 24423835904 36635753856 73271507712