Search a number
-
+
42754370600 = 235210113915227
BaseRepresentation
bin100111110100010110…
…111110110000101000
311002100121220001122102
4213310112332300220
51200030104324400
631350250312532
73042331103534
oct476426766050
9132317801572
1042754370600
111714a800487
128352428748
1340548c4856
1420d8314bc4
1511a370b9d5
hex9f45bec28

42754370600 has 96 divisors (see below), whose sum is σ = 101116965600. Its totient is φ = 16809504000.

The previous prime is 42754370597. The next prime is 42754370611. The reversal of 42754370600 is 607345724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2800187 + ... + 2815413.

It is an arithmetic number, because the mean of its divisors is an integer number (1053301725).

Almost surely, 242754370600 is an apocalyptic number.

42754370600 is a gapful number since it is divisible by the number (40) 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 42754370600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50558482800).

42754370600 is an abundant number, since it is smaller than the sum of its proper divisors (58362595000).

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

42754370600 is a wasteful number, since it uses less digits than its factorization.

42754370600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15483 (or 15474 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 42754370600 in words is "forty-two billion, seven hundred fifty-four million, three hundred seventy thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 139 200 202 278 404 505 556 695 808 1010 1112 1390 2020 2525 2780 3475 4040 5050 5560 6950 10100 13900 14039 15227 20200 27800 28078 30454 56156 60908 70195 76135 112312 121816 140390 152270 280780 304540 350975 380675 561560 609080 701950 761350 1403900 1522700 1537927 2116553 2807800 3045400 3075854 4233106 6151708 7689635 8466212 10582765 12303416 15379270 16932424 21165530 30758540 38448175 42331060 52913825 61517080 76896350 84662120 105827650 153792700 211655300 213771853 307585400 423310600 427543706 855087412 1068859265 1710174824 2137718530 4275437060 5344296325 8550874120 10688592650 21377185300 42754370600