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1660016422160 = 2451011368115017
BaseRepresentation
bin11000001010000000101…
…100000110110100010000
312212200210101202121200122
4120022000230012310100
5204144203201002120
63310333453005412
7230634516526535
oct30120054066420
95780711677618
101660016422160
11590010aa2788
12229880183868
13c0700bb2c85
145a4b9416d8c
152d2aa4cca25
hex18280b06d10

1660016422160 has 80 divisors (see below), whose sum is σ = 3898295908272. Its totient is φ = 657340416000.

The previous prime is 1660016422151. The next prime is 1660016422171. The reversal of 1660016422160 is 612246100661.

It can be written as a sum of positive squares in 8 ways, for example, as 256862457856 + 1403153964304 = 506816^2 + 1184548^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1660016422160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110534972 + ... + 110549988.

Almost surely, 21660016422160 is an apocalyptic number.

1660016422160 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 1660016422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949147954136).

1660016422160 is an abundant number, since it is smaller than the sum of its proper divisors (2238279486112).

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

1660016422160 is a wasteful number, since it uses less digits than its factorization.

1660016422160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28812 (or 28806 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 1660016422160 in words is "one trillion, six hundred sixty billion, sixteen million, four hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 13681 15017 27362 30034 54724 60068 68405 75085 109448 120136 136810 150170 218896 240272 273620 300340 547240 600680 1094480 1201360 1381781 1516717 2763562 3033434 5527124 6066868 6908905 7583585 11054248 12133736 13817810 15167170 22108496 24267472 27635620 30334340 55271240 60668680 110542480 121337360 205447577 410895154 821790308 1027237885 1643580616 2054475770 3287161232 4108951540 8217903080 16435806160 20750205277 41500410554 83000821108 103751026385 166001642216 207502052770 332003284432 415004105540 830008211080 1660016422160