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103415552256 = 283727185221
BaseRepresentation
bin110000001010000001…
…1000001100100000000
3100212221012121101010010
41200110003001210000
53143243340133011
6115301454104520
710320506455542
oct1402403014400
9325835541103
10103415552256
113a949424065
12180617ab140
1399a131c393
145010919692
152a540151a6
hex18140c1900

103415552256 has 72 divisors (see below), whose sum is σ = 275616263104. Its totient is φ = 34424248320.

The previous prime is 103415552231. The next prime is 103415552287. The reversal of 103415552256 is 652255514301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465726 + ... + 650946.

Almost surely, 2103415552256 is an apocalyptic number.

103415552256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103415552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137808131552).

103415552256 is an abundant number, since it is smaller than the sum of its proper divisors (172200710848).

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

103415552256 is an equidigital number, since it uses as much as digits as its factorization.

103415552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185967 (or 185953 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 103415552256 in words is "one hundred three billion, four hundred fifteen million, five hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 727 768 1454 2181 2908 4362 5816 8724 11632 17448 23264 34896 46528 69792 93056 139584 185221 186112 279168 370442 555663 558336 740884 1111326 1481768 2222652 2963536 4445304 5927072 8890608 11854144 17781216 23708288 35562432 47416576 71124864 134655667 142249728 269311334 403967001 538622668 807934002 1077245336 1615868004 2154490672 3231736008 4308981344 6463472016 8617962688 12926944032 17235925376 25853888064 34471850752 51707776128 103415552256