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3412673319920 = 245532728329501
BaseRepresentation
bin110001101010010011001…
…011100101001111110000
3110002020201001221000002012
4301222103023211033300
5421403123332214140
611131432132542052
7501362140412504
oct61522313451760
913066631830065
103412673319920
1110a6341136997
12471495481928
131b9a769602c7
14bb2622a8304
155db88a60265
hex31a932e53f0

3412673319920 has 80 divisors (see below), whose sum is σ = 8084742712992. Its totient is φ = 1339218816000.

The previous prime is 3412673319901. The next prime is 3412673319929. The reversal of 3412673319920 is 299133762143.

3412673319920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412673319929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115665170 + ... + 115694670.

Almost surely, 23412673319920 is an apocalyptic number.

It is an amenable number.

3412673319920 is an abundant number, since it is smaller than the sum of its proper divisors (4672069393072).

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

3412673319920 is a wasteful number, since it uses less digits than its factorization.

3412673319920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56850 (or 56844 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 50.

The spelling of 3412673319920 in words is "three trillion, four hundred twelve billion, six hundred seventy-three million, three hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 27283 29501 54566 59002 109132 118004 136415 147505 218264 236008 272830 295010 436528 472016 545660 590020 1091320 1180040 1445999 1563553 2182640 2360080 2891998 3127106 5783996 6254212 7229995 7817765 11567992 12508424 14459990 15635530 23135984 25016848 28919980 31271060 57839960 62542120 115679920 125084240 804875783 1609751566 3219503132 4024378915 6439006264 8048757830 12878012528 16097515660 32195031320 42658416499 64390062640 85316832998 170633665996 213292082495 341267331992 426584164990 682534663984 853168329980 1706336659960 3412673319920