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104314632448 = 281341764501
BaseRepresentation
bin110000100100110100…
…0101111100100000000
3100222020212101101021111
41201021220233210000
53202114021214243
6115531012333104
710352004513565
oct1411150574400
9328225341244
10104314632448
114026a988344
1218272914194
139ab56831b0
1450980b686c
152aa7e0e39d
hex1849a2f900

104314632448 has 72 divisors (see below), whose sum is σ = 229708386936. Its totient is φ = 46970880000.

The previous prime is 104314632431. The next prime is 104314632451. The reversal of 104314632448 is 844236413401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7936671744 + 96377960704 = 89088^2 + 310448^2 .

It is a super-2 number, since 2×1043146324482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104314632448.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245803 + ... + 518698.

It is an arithmetic number, because the mean of its divisors is an integer number (3190394263).

Almost surely, 2104314632448 is an apocalyptic number.

It is an amenable number.

104314632448 is an abundant number, since it is smaller than the sum of its proper divisors (125393754488).

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

104314632448 is an equidigital number, since it uses as much as digits as its factorization.

104314632448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764571 (or 764557 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 104314632448 in words is "one hundred four billion, three hundred fourteen million, six hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 256 328 416 533 656 832 1066 1312 1664 2132 2624 3328 4264 5248 8528 10496 17056 34112 68224 136448 764501 1529002 3058004 6116008 9938513 12232016 19877026 24464032 31344541 39754052 48928064 62689082 79508104 97856128 125378164 159016208 195712256 250756328 318032416 407479033 501512656 636064832 814958066 1003025312 1272129664 1629916132 2006050624 2544259328 3259832264 4012101248 6519664528 8024202496 13039329056 26078658112 52157316224 104314632448