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104886036648 = 233317911812297
BaseRepresentation
bin110000110101110110…
…0011110100010101000
3101000201200120201111000
41201223230132202220
53204301311133043
6120103423435000
710402113413211
oct1415354364250
9330650521430
10104886036648
1140533484818
12183b2155a60
139b76b78ca3
14510dd38408
152add17e2d3
hex186bb1e8a8

104886036648 has 128 divisors (see below), whose sum is σ = 293353488000. Its totient is φ = 34722132480.

The previous prime is 104886036643. The next prime is 104886036701. The reversal of 104886036648 is 846630688401.

104886036648 is a `hidden beast` number, since 1 + 0 + 488 + 60 + 3 + 66 + 48 = 666.

It is a super-2 number, since 2×1048860366482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104886036594 and 104886036603.

It is not an unprimeable number, because it can be changed into a prime (104886036641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45661036 + ... + 45663332.

It is an arithmetic number, because the mean of its divisors is an integer number (2291824125).

Almost surely, 2104886036648 is an apocalyptic number.

104886036648 is a gapful number since it is divisible by the number (18) 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 104886036648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146676744000).

104886036648 is an abundant number, since it is smaller than the sum of its proper divisors (188467451352).

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

104886036648 is a wasteful number, since it uses less digits than its factorization.

104886036648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 104886036648 in words is "one hundred four billion, eight hundred eighty-six million, thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 1074 1181 1432 1611 2148 2297 2362 3222 3543 4296 4594 4724 4833 6444 6891 7086 9188 9448 9666 10629 12888 13782 14172 18376 19332 20673 21258 27564 28344 31887 38664 41346 42516 55128 62019 63774 82692 85032 124038 127548 165384 211399 248076 255096 411163 422798 496152 634197 822326 845596 1233489 1268394 1644652 1691192 1902591 2466978 2536788 2712757 3289304 3700467 3805182 4933956 5073576 5425514 5707773 7400934 7610364 8138271 9867912 10851028 11101401 11415546 14801868 15220728 16276542 21702056 22202802 22831092 24414813 29603736 32553084 44405604 45662184 48829626 65106168 73244439 88811208 97659252 146488878 195318504 292977756 485583503 585955512 971167006 1456750509 1942334012 2913501018 3884668024 4370251527 5827002036 8740503054 11654004072 13110754581 17481006108 26221509162 34962012216 52443018324 104886036648