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103939451568 = 243213147911503
BaseRepresentation
bin110000011001101000…
…1100010101010110000
3100221021201102012212100
41200303101202222300
53200331444422233
6115425451100400
710336500522021
oct1406321425260
9327251365770
10103939451568
11400981243a7
1218189141700
139a55a21684
145060332c48
152a84eee813
hex1833462ab0

103939451568 has 120 divisors (see below), whose sum is σ = 293744056320. Its totient is φ = 34307245440.

The previous prime is 103939451491. The next prime is 103939451717. The reversal of 103939451568 is 865154939301.

103939451568 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 39 + 45 + 1 + 568 = 666.

103939451568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9030105 + ... + 9041607.

It is an arithmetic number, because the mean of its divisors is an integer number (2447867136).

Almost surely, 2103939451568 is an apocalyptic number.

103939451568 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 103939451568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146872028160).

103939451568 is an abundant number, since it is smaller than the sum of its proper divisors (189804604752).

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

103939451568 is a wasteful number, since it uses less digits than its factorization.

103939451568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 103939451568 in words is "one hundred three billion, nine hundred thirty-nine million, four hundred fifty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 479 524 786 958 1048 1179 1437 1572 1916 2096 2358 2874 3144 3832 4311 4716 5748 6288 7664 8622 9432 11496 11503 17244 18864 22992 23006 34488 34509 46012 62749 68976 69018 92024 103527 125498 138036 184048 188247 207054 250996 276072 376494 414108 501992 552144 564741 752988 828216 1003984 1129482 1505976 1506893 1656432 2258964 3011952 3013786 4517928 4520679 5509937 6027572 9035856 9041358 11019874 12055144 13562037 16529811 18082716 22039748 24110288 27124074 33059622 36165432 44079496 49589433 54248148 66119244 72330864 88158992 99178866 108496296 132238488 198357732 216992592 264476976 396715464 721801747 793430928 1443603494 2165405241 2887206988 4330810482 5774413976 6496215723 8661620964 11548827952 12992431446 17323241928 25984862892 34646483856 51969725784 103939451568