Search a number
-
+
42783989472 = 2532726978893
BaseRepresentation
bin100111110110000111…
…111101111011100000
311002102200121212002200
4213312013331323200
51200110200130342
631353225213200
73043140624120
oct476607757340
9132380555080
1042783989472
11171654a0594
128360331200
13405aa95203
1420dc224c80
1511a610c94c
hex9f61fdee0

42783989472 has 144 divisors (see below), whose sum is σ = 139566641760. Its totient is φ = 12178400256.

The previous prime is 42783989467. The next prime is 42783989477. The reversal of 42783989472 is 27498938724.

42783989472 is a `hidden beast` number, since 4 + 2 + 7 + 83 + 9 + 89 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (42783989467) and next prime (42783989477).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42783989477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502858 + ... + 581750.

It is an arithmetic number, because the mean of its divisors is an integer number (969212790).

Almost surely, 242783989472 is an apocalyptic number.

42783989472 is a gapful number since it is divisible by the number (42) 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 42783989472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69783320880).

42783989472 is an abundant number, since it is smaller than the sum of its proper divisors (96782652288).

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

42783989472 is a wasteful number, since it uses less digits than its factorization.

42783989472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79185 (or 79174 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 42783989472 in words is "forty-two billion, seven hundred eighty-three million, nine hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 269 288 336 504 538 672 807 1008 1076 1614 1883 2016 2152 2421 3228 3766 4304 4842 5649 6456 7532 8608 9684 11298 12912 15064 16947 19368 22596 25824 30128 33894 38736 45192 60256 67788 77472 78893 90384 135576 157786 180768 236679 271152 315572 473358 542304 552251 631144 710037 946716 1104502 1262288 1420074 1656753 1893432 2209004 2524576 2840148 3313506 3786864 4418008 4970259 5680296 6627012 7573728 8836016 9940518 11360592 13254024 17672032 19881036 21222217 22721184 26508048 39762072 42444434 53016096 63666651 79524144 84888868 127333302 148555519 159048288 169777736 190999953 254666604 297111038 339555472 381999906 445666557 509333208 594222076 679110944 763999812 891333114 1018666416 1188444152 1336999671 1527999624 1782666228 2037332832 2376888304 2673999342 3055999248 3565332456 4753776608 5347998684 6111998496 7130664912 10695997368 14261329824 21391994736 42783989472