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1929290920000 = 265461790693
BaseRepresentation
bin11100000100110010101…
…100110011000001000000
320211102211121020102012021
4130010302230303001000
5223102141433420000
64034145400011224
7256246425145543
oct34046254630100
96742747212167
101929290920000
11684231478494
12271aab760b14
1310cc1524b772
1469541a1885a
15352ba50411a
hex1c132b33040

1929290920000 has 140 divisors (see below), whose sum is σ = 4862447078236. Its totient is φ = 759064320000.

The previous prime is 1929290919937. The next prime is 1929290920001. The reversal of 1929290920000 is 290929291.

It can be written as a sum of positive squares in 10 ways, for example, as 1541590425664 + 387700494336 = 1241608^2 + 622656^2 .

It is not an unprimeable number, because it can be changed into a prime (1929290920001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2044654 + ... + 2835346.

Almost surely, 21929290920000 is an apocalyptic number.

1929290920000 is a gapful number since it is divisible by the number (10) 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 1929290920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431223539118).

1929290920000 is an abundant number, since it is smaller than the sum of its proper divisors (2933156158236).

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

1929290920000 is an frugal number, since it uses more digits than its factorization.

1929290920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790786 (or 790761 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 43.

The spelling of 1929290920000 in words is "one trillion, nine hundred twenty-nine billion, two hundred ninety million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 625 800 976 1000 1220 1250 1525 1600 1952 2000 2440 2500 3050 3904 4000 4880 5000 6100 7625 8000 9760 10000 12200 15250 19520 20000 24400 30500 38125 40000 48800 61000 76250 97600 122000 152500 244000 305000 488000 610000 790693 1220000 1581386 2440000 3162772 3953465 6325544 7906930 12651088 15813860 19767325 25302176 31627720 39534650 48232273 50604352 63255440 79069300 96464546 98836625 126510880 158138600 192929092 197673250 241161365 253021760 316277200 385858184 395346500 482322730 494183125 632554400 771716368 790693000 964645460 988366250 1205806825 1265108800 1543432736 1581386000 1929290920 1976732500 2411613650 3086865472 3162772000 3858581840 3953465000 4823227300 6029034125 6325544000 7717163680 7906930000 9646454600 12058068250 15434327360 15813860000 19292909200 24116136500 30145170625 31627720000 38585818400 48232273000 60290341250 77171636800 96464546000 120580682500 192929092000 241161365000 385858184000 482322730000 964645460000 1929290920000