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104350325544 = 23379761487
BaseRepresentation
bin110000100101111000…
…0111001101100101000
3100222100100112210000000
41201023300321230220
53202202140404134
6115534325343000
710352620063233
oct1411360715450
9328310483000
10104350325544
1140289047073
1218282867a60
139abcb9c57a
14509cb2841a
152aab10ee99
hex184bc39b28

104350325544 has 128 divisors (see below), whose sum is σ = 296470540800. Its totient is φ = 34424289792.

The previous prime is 104350325539. The next prime is 104350325549. The reversal of 104350325544 is 445523053401.

104350325544 is a `hidden beast` number, since 1 + 0 + 43 + 50 + 3 + 25 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (104350325539) and next prime (104350325549).

It is a super-2 number, since 2×1043503255442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104350325499 and 104350325508.

It is not an unprimeable number, because it can be changed into a prime (104350325549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666369 + ... + 1727855.

It is an arithmetic number, because the mean of its divisors is an integer number (2316176100).

Almost surely, 2104350325544 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 104350325544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148235270400).

104350325544 is an abundant number, since it is smaller than the sum of its proper divisors (192120215256).

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

104350325544 is an frugal number, since it uses more digits than its factorization.

104350325544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61611 (or 61589 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 104350325544 its reverse (445523053401), we get a palindrome (549873378945).

The spelling of 104350325544 in words is "one hundred four billion, three hundred fifty million, three hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 243 291 324 388 486 582 648 729 776 873 972 1164 1458 1746 1944 2187 2328 2619 2916 3492 4374 5238 5832 6984 7857 8748 10476 15714 17496 20952 23571 31428 47142 61487 62856 70713 94284 122974 141426 184461 188568 212139 245948 282852 368922 424278 491896 553383 565704 737844 848556 1106766 1475688 1660149 1697112 2213532 3320298 4427064 4980447 5964239 6640596 9960894 11928478 13281192 14941341 17892717 19921788 23856956 29882682 35785434 39843576 44824023 47713912 53678151 59765364 71570868 89648046 107356302 119530728 134472069 143141736 161034453 179296092 214712604 268944138 322068906 358592184 429425208 483103359 537888276 644137812 966206718 1075776552 1288275624 1449310077 1932413436 2898620154 3864826872 4347930231 5797240308 8695860462 11594480616 13043790693 17391720924 26087581386 34783441848 52175162772 104350325544