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104252304140032 = 2810910667350249
BaseRepresentation
bin10111101101000100100001…
…100011100010011100000000
3111200010102102022202112020211
4113231010201203202130000
5102131032204324440112
61005420503010043504
730646660166021506
oct2755044143423400
9450112368675224
10104252304140032
1130244176920554
12b838965879594
134622c47494c19
141ba5ba498c676
15c0bc959d20a7
hex5ed1218e2700

104252304140032 has 72 divisors (see below), whose sum is σ = 210026810070000. Its totient is φ = 51642941202432.

The previous prime is 104252304139979. The next prime is 104252304140057. The reversal of 104252304140032 is 230041403252401.

104252304140032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1042523041400322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104252304139976 and 104252304140003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 297476844 + ... + 297827092.

It is an arithmetic number, because the mean of its divisors is an integer number (2917039028750).

Almost surely, 2104252304140032 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 104252304140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105013405035000).

104252304140032 is an abundant number, since it is smaller than the sum of its proper divisors (105774505929968).

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

104252304140032 is a wasteful number, since it uses less digits than its factorization.

104252304140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361041 (or 361027 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 104252304140032 its reverse (230041403252401), we get a palindrome (334293707392433).

The spelling of 104252304140032 in words is "one hundred four trillion, two hundred fifty-two billion, three hundred four million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 3488 6976 10667 13952 21334 27904 42668 85336 170672 341344 350249 682688 700498 1162703 1365376 1400996 2325406 2730752 2801992 4650812 5603984 9301624 11207968 18603248 22415936 37206496 38177141 44831872 74412992 76354282 89663744 148825984 152708564 297651968 305417128 610834256 1221668512 2443337024 3736106083 4886674048 7472212166 9773348096 14944424332 29888848664 59777697328 119555394656 239110789312 407235563047 478221578624 814471126094 956443157248 1628942252188 3257884504376 6515769008752 13031538017504 26063076035008 52126152070016 104252304140032