Search a number
-
+
1672295512576 = 2913653384757
BaseRepresentation
bin11000010101011100100…
…101000111101000000000
312220212111011001001010011
4120111130211013220000
5204344330122400301
63320124132314304
7231551020215133
oct30253445075000
95825434031104
101672295512576
11595242247097
12230128472994
13c1909b04150
145ad2212421a
152d7784cba51
hex1855c947a00

1672295512576 has 80 divisors (see below), whose sum is σ = 3603869665704. Its totient is φ = 770644721664.

The previous prime is 1672295512571. The next prime is 1672295512577. The reversal of 1672295512576 is 6752155922761.

It can be written as a sum of positive squares in 4 ways, for example, as 806978822400 + 865316690176 = 898320^2 + 930224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1672295512576.

It is not an unprimeable number, because it can be changed into a prime (1672295512571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4153990 + ... + 4538746.

Almost surely, 21672295512576 is an apocalyptic number.

1672295512576 is a gapful number since it is divisible by the number (16) 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 1672295512576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801934832852).

1672295512576 is an abundant number, since it is smaller than the sum of its proper divisors (1931574153128).

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

1672295512576 is an equidigital number, since it uses as much as digits as its factorization.

1672295512576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385441 (or 385425 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 58.

The spelling of 1672295512576 in words is "one trillion, six hundred seventy-two billion, two hundred ninety-five million, five hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 653 832 1306 1664 2612 3328 5224 6656 8489 10448 16978 20896 33956 41792 67912 83584 135824 167168 271648 334336 384757 543296 769514 1086592 1539028 2173184 3078056 4346368 5001841 6156112 10003682 12312224 20007364 24624448 40014728 49248896 80029456 98497792 160058912 196995584 251246321 320117824 502492642 640235648 1004985284 1280471296 2009970568 2560942592 3266202173 4019941136 6532404346 8039882272 13064808692 16079764544 26129617384 32159529088 52259234768 64319058176 104518469536 128638116352 209036939072 418073878144 836147756288 1672295512576