Search a number
-
+
63132605400 = 23352831267723
BaseRepresentation
bin111010110010111111…
…110001101111011000
320000221211010122111110
4322302333301233120
52013243421333100
645000330500320
74363325202024
oct726277615730
9200854118443
1063132605400
1124857789947
121029ab946a0
135c51760057
1430ac937384
15199778c250
hexeb2ff1bd8

63132605400 has 96 divisors (see below), whose sum is σ = 198069197760. Its totient is φ = 16632512640.

The previous prime is 63132605353. The next prime is 63132605423. The reversal of 63132605400 is 450623136.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584062 + ... + 683661.

It is an arithmetic number, because the mean of its divisors is an integer number (2063220810).

Almost surely, 263132605400 is an apocalyptic number.

63132605400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63132605400 is an abundant number, since it is smaller than the sum of its proper divisors (134936592360).

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

63132605400 is a wasteful number, since it uses less digits than its factorization.

63132605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267825 (or 1267816 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 63132605400 in words is "sixty-three billion, one hundred thirty-two million, six hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 1267723 2535446 3803169 5070892 6338615 7606338 10141784 12677230 15212676 19015845 25354460 30425352 31693075 38031690 50708920 63386150 76063380 95079225 105221009 126772300 152126760 190158450 210442018 253544600 315663027 380316900 420884036 526105045 631326054 760633800 841768072 1052210090 1262652108 1578315135 2104420180 2525304216 2630525225 3156630270 4208840360 5261050450 6313260540 7891575675 10522100900 12626521080 15783151350 21044201800 31566302700 63132605400