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1606170240384 = 27343457212851
BaseRepresentation
bin10111010111110111001…
…101001110010110000000
312200112210202200011112220
4113113313031032112000
5202303414040143014
63225510414251040
7224020252532043
oct27276715162600
95615722604486
101606170240384
1156a19a256406
1221b3531b6a80
13b85cc359658
1457a4bd72c5a
152bba81486a9
hex175f734e580

1606170240384 has 128 divisors (see below), whose sum is σ = 4375181374080. Its totient is φ = 521792409600.

The previous prime is 1606170240377. The next prime is 1606170240391. The reversal of 1606170240384 is 4830420716061.

It is an interprime number because it is at equal distance from previous prime (1606170240377) and next prime (1606170240391).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7439559 + ... + 7652409.

It is an arithmetic number, because the mean of its divisors is an integer number (34181104485).

Almost surely, 21606170240384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1606170240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187590687040).

1606170240384 is an abundant number, since it is smaller than the sum of its proper divisors (2769011133696).

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

1606170240384 is a wasteful number, since it uses less digits than its factorization.

1606170240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213368 (or 213356 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1606170240384 in words is "one trillion, six hundred six billion, one hundred seventy million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 457 516 688 914 1032 1371 1376 1828 2064 2742 2752 3656 4128 5484 5504 7312 8256 10968 14624 16512 19651 21936 29248 39302 43872 58496 58953 78604 87744 117906 157208 175488 212851 235812 314416 425702 471624 628832 638553 851404 943248 1257664 1277106 1702808 1886496 2515328 2554212 3405616 3772992 5108424 6811232 7545984 9152593 10216848 13622464 18305186 20433696 27244928 27457779 36610372 40867392 54915558 73220744 81734784 97272907 109831116 146441488 194545814 219662232 291818721 292882976 389091628 439324464 583637442 585765952 778183256 878648928 1167274884 1171531904 1556366512 1757297856 2334549768 3112733024 3514595712 4182735001 4669099536 6225466048 8365470002 9338199072 12450932096 12548205003 16730940004 18676398144 25096410006 33461880008 37352796288 50192820012 66923760016 100385640024 133847520032 200771280048 267695040064 401542560096 535390080128 803085120192 1606170240384