Search a number
-
+
675207140000 = 2554337310009
BaseRepresentation
bin10011101001101010111…
…10110101001010100000
32101112211100100121120212
421310311132311022200
542030311011440000
61234104052153252
766532155664601
oct11646536651240
92345740317525
10675207140000
11240398911a58
12aaa39608828
134b896b1a893
142497467bda8
151286c69ec35
hex9d357b52a0

675207140000 has 120 divisors (see below), whose sum is σ = 1661769329220. Its totient is φ = 269975808000.

The previous prime is 675207139991. The next prime is 675207140053. The reversal of 675207140000 is 41702576.

675207140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 112233040144 + 562974099856 = 335012^2 + 750316^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67454996 + ... + 67465004.

Almost surely, 2675207140000 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 675207140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830884664610).

675207140000 is an abundant number, since it is smaller than the sum of its proper divisors (986562189220).

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

675207140000 is a wasteful number, since it uses less digits than its factorization.

675207140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13412 (or 13389 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

Adding to 675207140000 its reverse (41702576), we get a palindrome (675248842576).

The spelling of 675207140000 in words is "six hundred seventy-five billion, two hundred seven million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3373 4000 5000 6746 10000 10009 13492 16865 20000 20018 26984 33730 40036 50045 53968 67460 80072 84325 100090 107936 134920 160144 168650 200180 250225 269840 320288 337300 400360 421625 500450 539680 674600 800720 843250 1000900 1251125 1349200 1601440 1686500 2001800 2108125 2502250 2698400 3373000 4003600 4216250 5004500 6255625 6746000 8007200 8432500 10009000 12511250 13492000 16865000 20018000 25022500 33730000 33760357 40036000 50045000 67460000 67520714 100090000 135041428 168801785 200180000 270082856 337603570 540165712 675207140 844008925 1080331424 1350414280 1688017850 2700828560 3376035700 4220044625 5401657120 6752071400 8440089250 13504142800 16880178500 21100223125 27008285600 33760357000 42200446250 67520714000 84400892500 135041428000 168801785000 337603570000 675207140000