Search a number
-
+
2007174489040 = 245788710133989
BaseRepresentation
bin11101001101010100111…
…011000010001111010000
321002212212102220122201101
4131031110323002033100
5230341143132122130
64134025551114144
7265004440440520
oct35152473021720
97085772818641
102007174489040
11704268743676
12285006812954
13117377a61966
146d20d66b680
1537327cb21ca
hex1d354ec23d0

2007174489040 has 160 divisors (see below), whose sum is σ = 5345972835840. Its totient is φ = 686547535872.

The previous prime is 2007174488953. The next prime is 2007174489083. The reversal of 2007174489040 is 409844717002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503175366 + ... + 503179354.

It is an arithmetic number, because the mean of its divisors is an integer number (33412330224).

Almost surely, 22007174489040 is an apocalyptic number.

2007174489040 is a gapful number since it is divisible by the number (20) 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 2007174489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672986417920).

2007174489040 is an abundant number, since it is smaller than the sum of its proper divisors (3338798346800).

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

2007174489040 is a wasteful number, since it uses less digits than its factorization.

2007174489040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 2007174489040 in words is "two trillion, seven billion, one hundred seventy-four million, four hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 887 1013 1774 2026 3548 3989 4052 4435 5065 6209 7091 7096 7978 8104 8870 10130 12418 14182 14192 15956 16208 17740 19945 20260 24836 27923 28364 31045 31912 35455 35480 39890 40520 49672 55846 56728 62090 63824 70910 70960 79780 81040 99344 111692 113456 124180 139615 141820 159560 223384 248360 279230 283640 319120 446768 496720 558460 567280 898531 1116920 1797062 2233840 3538243 3594124 4040857 4492655 6289717 7076486 7188248 8081714 8985310 12579434 14152972 14376496 16163428 17691215 17970620 20204285 24767701 25158868 28285999 28305944 31448585 32326856 35382430 35941240 40408570 49535402 50317736 56571998 56611888 62897170 64653712 70764860 71882480 80817140 99070804 100635472 113143996 123838505 125794340 141429995 141529720 161634280 198141608 226287992 247677010 251588680 282859990 283059440 323268560 396283216 452575984 495354020 503177360 565719980 990708040 1131439960 1981416080 2262879920 3584240159 7168480318 14336960636 17921200795 25089681113 28673921272 35842401590 50179362226 57347842544 71684803180 100358724452 125448405565 143369606360 200717448904 250896811130 286739212720 401434897808 501793622260 1003587244520 2007174489040