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99286664448 = 2832934331019
BaseRepresentation
bin101110001110111110…
…0100100010100000000
3100111021110101010211110
41130131330210110000
53111314341230243
6113340041443320
710113262503006
oct1343574442400
9314243333743
1099286664448
113911a808594
12172aaaa0540
139493ab14ba
144b3c414a76
1528b17d0e33
hex171df24500

99286664448 has 144 divisors (see below), whose sum is σ = 266022348480. Its totient is φ = 32874135552.

The previous prime is 99286664443. The next prime is 99286664479. The reversal of 99286664448 is 84446668299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99286664443) 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, 97434883 + ... + 97435901.

It is an arithmetic number, because the mean of its divisors is an integer number (1847377420).

Almost surely, 299286664448 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 99286664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133011174240).

99286664448 is an abundant number, since it is smaller than the sum of its proper divisors (166735684032).

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

99286664448 is a wasteful number, since it uses less digits than its factorization.

99286664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1750 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 66.

The spelling of 99286664448 in words is "ninety-nine billion, two hundred eighty-six million, six hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 293 384 433 586 768 866 879 1019 1172 1299 1732 1758 2038 2344 2598 3057 3464 3516 4076 4688 5196 6114 6928 7032 8152 9376 10392 12228 13856 14064 16304 18752 20784 24456 27712 28128 32608 37504 41568 48912 55424 56256 65216 75008 83136 97824 110848 112512 126869 130432 166272 195648 225024 253738 260864 298567 332544 380607 391296 441227 507476 597134 761214 782592 882454 895701 1014952 1194268 1323681 1522428 1764908 1791402 2029904 2388536 2647362 3044856 3529816 3582804 4059808 4777072 5294724 6089712 7059632 7165608 8119616 9554144 10589448 12179424 14119264 14331216 16239232 19108288 21178896 24358848 28238528 28662432 32478464 38216576 42357792 48717696 56477056 57324864 76433152 84715584 97435392 112954112 114649728 129279511 169431168 229299456 258559022 338862336 387838533 517118044 775677066 1034236088 1551354132 2068472176 3102708264 4136944352 6205416528 8273888704 12410833056 16547777408 24821666112 33095554816 49643332224 99286664448