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58531142400 = 283523048497
BaseRepresentation
bin110110100000101110…
…100101101100000000
312121002010200002220220
4312200232211230000
51424332433024100
642515553303040
74141312334013
oct664056455400
9177063602826
1058531142400
1122906338665
12b415b64a80
13569a34cb93
142b9377937a
1517c880aaa0
hexda0ba5b00

58531142400 has 108 divisors (see below), whose sum is σ = 193165027272. Its totient is φ = 15608299520.

The previous prime is 58531142393. The next prime is 58531142407. The reversal of 58531142400 is 424113585.

It is an interprime number because it is at equal distance from previous prime (58531142393) and next prime (58531142407).

It is not an unprimeable number, because it can be changed into a prime (58531142407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1505049 + ... + 1543448.

Almost surely, 258531142400 is an apocalyptic number.

58531142400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58531142400 is an abundant number, since it is smaller than the sum of its proper divisors (134633884872).

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

58531142400 is a wasteful number, since it uses less digits than its factorization.

58531142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048526 (or 3048507 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 58531142400 its reverse (424113585), we get a palindrome (58955255985).

The spelling of 58531142400 in words is "fifty-eight billion, five hundred thirty-one million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 3048497 6096994 9145491 12193988 15242485 18290982 24387976 30484970 36581964 45727455 48775952 60969940 73163928 76212425 91454910 97551904 121939880 146327856 152424850 182909820 195103808 228637275 243879760 292655712 304849700 365819640 390207616 457274550 487759520 585311424 609699400 731639280 780415232 914549100 975519040 1170622848 1219398800 1463278560 1829098200 1951038080 2341245696 2438797600 2926557120 3658196400 3902076160 4877595200 5853114240 7316392800 9755190400 11706228480 14632785600 19510380800 29265571200 58531142400