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103412846592 = 2123211255023
BaseRepresentation
bin110000001001111100…
…0101101000000000000
3100212221000111220122100
41200103320231000000
53143242142042332
6115301320110400
710320444456366
oct1402370550000
9325830456570
10103412846592
113a947946280
1218060905400
1399a08b29b3
145010413636
152a53b7d67c
hex1813e2d000

103412846592 has 156 divisors (see below), whose sum is σ = 325868647104. Its totient is φ = 31337103360.

The previous prime is 103412846567. The next prime is 103412846599. The reversal of 103412846592 is 295648214301.

103412846592 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 12 + 8 + 46 + 592 = 666.

103412846592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103412846599) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277993 + ... + 533015.

It is an arithmetic number, because the mean of its divisors is an integer number (2088901584).

Almost surely, 2103412846592 is an apocalyptic number.

103412846592 is a gapful number since it is divisible by the number (12) 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 103412846592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162934323552).

103412846592 is an abundant number, since it is smaller than the sum of its proper divisors (222455800512).

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

103412846592 is a wasteful number, since it uses less digits than its factorization.

103412846592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255064 (or 255039 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 103412846592 in words is "one hundred three billion, four hundred twelve million, eight hundred forty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4096 4224 4608 5632 6144 6336 8448 9216 11264 12288 12672 16896 18432 22528 25344 33792 36864 45056 50688 67584 101376 135168 202752 255023 405504 510046 765069 1020092 1530138 2040184 2295207 2805253 3060276 4080368 4590414 5610506 6120552 8160736 8415759 9180828 11221012 12241104 16321472 16831518 18361656 22442024 24482208 25247277 32642944 33663036 36723312 44884048 48964416 50494554 65285888 67326072 73446624 89768096 97928832 100989108 130571776 134652144 146893248 179536192 195857664 201978216 261143552 269304288 293786496 359072384 391715328 403956432 522287104 538608576 587572992 718144768 783430656 807912864 1044574208 1077217152 1175145984 1436289536 1566861312 1615825728 2154434304 2350291968 2872579072 3133722624 3231651456 4308868608 4700583936 5745158144 6463302912 8617737216 9401167872 11490316288 12926605824 17235474432 25853211648 34470948864 51706423296 103412846592