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104248372545 = 345257403389
BaseRepresentation
bin110000100010110101…
…1111110110101000001
3100222002020201000210000
41201011223332311001
53202000040410140
6115520244230213
710350241355202
oct1410553766501
9328066630700
10104248372545
1140236541299
121825469b369
139aa4a23b55
14508d3895a9
152aa21c1a30
hex1845afed41

104248372545 has 20 divisors (see below), whose sum is σ = 186874861140. Its totient is φ = 55599131808.

The previous prime is 104248372507. The next prime is 104248372549. The reversal of 104248372545 is 545273842401.

104248372545 is a `hidden beast` number, since 1 + 0 + 4 + 24 + 83 + 7 + 2 + 545 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54895084209 + 49353288336 = 234297^2 + 222156^2 .

It is not a de Polignac number, because 104248372545 - 214 = 104248356161 is a prime.

It is a super-2 number, since 2×1042483725452 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104248372545.

It is not an unprimeable number, because it can be changed into a prime (104248372549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128701290 + ... + 128702099.

It is an arithmetic number, because the mean of its divisors is an integer number (9343743057).

Almost surely, 2104248372545 is an apocalyptic number.

104248372545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104248372545 is a deficient number, since it is larger than the sum of its proper divisors (82626488595).

104248372545 is an equidigital number, since it uses as much as digits as its factorization.

104248372545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257403406 (or 257403397 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 104248372545 in words is "one hundred four billion, two hundred forty-eight million, three hundred seventy-two thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 257403389 772210167 1287016945 2316630501 3861050835 6949891503 11583152505 20849674509 34749457515 104248372545