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104551342336 = 287228872
BaseRepresentation
bin110000101011110111…
…1101110000100000000
3100222212100210111012101
41201113233232010000
53203110120423321
6120010310040144
710360610514100
oct1412757560400
9328770714171
10104551342336
1140381563a51
121831a049054
139b2272160c
1450bb6d3200
152abdaba791
hex1857bee100

104551342336 has 81 divisors (see below), whose sum is σ = 242850935439. Its totient is φ = 44792197632.

The previous prime is 104551342319. The next prime is 104551342349. The reversal of 104551342336 is 633243155401.

The square root of 104551342336 is 323344.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 104551342295 and 104551342304.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 36213085 + ... + 36215971.

Almost surely, 2104551342336 is an apocalyptic number.

104551342336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104551342336 is the 323344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104551342336

104551342336 is an abundant number, since it is smaller than the sum of its proper divisors (138299593103).

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

104551342336 is an frugal number, since it uses more digits than its factorization.

104551342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 104551342336 its reverse (633243155401), we get a palindrome (737794497737).

It can be divided in two parts, 1045513 and 42336, that added together give a square (1087849 = 10432).

The spelling of 104551342336 in words is "one hundred four billion, five hundred fifty-one million, three hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 2887 3136 5774 6272 11548 12544 20209 23096 40418 46192 80836 92384 141463 161672 184768 282926 323344 369536 565852 646688 739072 1131704 1293376 2263408 2586752 4526816 5173504 8334769 9053632 16669538 18107264 33339076 36214528 58343383 66678152 116686766 133356304 233373532 266712608 408403681 466747064 533425216 816807362 933494128 1066850432 1633614724 1866988256 2133700864 3267229448 3733976512 6534458896 7467953024 13068917792 14935906048 26137835584 52275671168 104551342336