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42723441852 = 22371375751683
BaseRepresentation
bin100111110010100000…
…111111110010111100
311002021110200201101020
4213302200333302330
51144444200114402
631343223344140
73041504156340
oct476240776274
9132243621336
1042723441852
11171342a6233
128343bb2050
13404b385c10
1420d4183620
1511a0b4c8bc
hex9f283fcbc

42723441852 has 96 divisors (see below), whose sum is σ = 122857416192. Its totient is φ = 11252618496.

The previous prime is 42723441823. The next prime is 42723441853. The reversal of 42723441852 is 25814432724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42723441853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800803 + ... + 852485.

It is an arithmetic number, because the mean of its divisors is an integer number (1279764752).

Almost surely, 242723441852 is an apocalyptic number.

42723441852 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 42723441852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61428708096).

42723441852 is an abundant number, since it is smaller than the sum of its proper divisors (80133974340).

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

42723441852 is a wasteful number, since it uses less digits than its factorization.

42723441852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52467 (or 52465 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The spelling of 42723441852 in words is "forty-two billion, seven hundred twenty-three million, four hundred forty-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 757 1092 1514 2271 3028 4542 5299 9084 9841 10598 15897 19682 21196 29523 31794 39364 51683 59046 63588 68887 103366 118092 137774 155049 206661 206732 275548 310098 361781 413322 620196 671879 723562 826644 1085343 1343758 1447124 2015637 2170686 2687516 4031274 4341372 4703153 8062548 9406306 14109459 18812612 28218918 39124031 56437836 78248062 117372093 156496124 234744186 273868217 469488372 508612403 547736434 821604651 1017224806 1095472868 1525837209 1643209302 2034449612 3051674418 3286418604 3560286821 6103348836 7120573642 10680860463 14241147284 21361720926 42723441852