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58143001154260 = 225114191753935963
BaseRepresentation
bin11010011100001011110001…
…11011100001001011010100
321121212102020201102222102211
431032011320323201023110
530110103331243414020
6323354305340243204
715150456525250501
oct1516057073411324
9247772221388384
1058143001154260
1117587343404040
126630605540504
132659b278a5b39
1410501c9cdc4a8
156ac67601785a
hex34e178ee12d4

58143001154260 has 96 divisors (see below), whose sum is σ = 133529555980800. Its totient is φ = 21090660032640.

The previous prime is 58143001154243. The next prime is 58143001154269. The reversal of 58143001154260 is 6245110034185.

58143001154260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×581430011542602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58143001154269) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1616727039 + ... + 1616763001.

It is an arithmetic number, because the mean of its divisors is an integer number (1390932874800).

Almost surely, 258143001154260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58143001154260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66764777990400).

58143001154260 is an abundant number, since it is smaller than the sum of its proper divisors (75386554826540).

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

58143001154260 is a wasteful number, since it uses less digits than its factorization.

58143001154260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53941 (or 53939 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 58143001154260 in words is "fifty-eight trillion, one hundred forty-three billion, one million, one hundred fifty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 419 838 1676 2095 4190 4609 8380 9218 17539 18436 23045 35078 35963 46090 70156 71926 87695 92180 143852 175390 179815 192929 350780 359630 385858 395593 719260 771716 791186 964645 1582372 1929290 1977965 3858580 3955930 7348841 7911860 14697682 15068497 29395364 30136994 36744205 60273988 73488410 75342485 80837251 146976820 150684970 161674502 165753467 301369940 323349004 331506934 404186255 630755057 663013868 808372510 828767335 1261510114 1616745020 1657534670 2523020228 3153775285 3315069340 6307550570 6938305627 12615101140 13876611254 27753222508 34691528135 69383056270 138766112540 264286368883 528572737766 1057145475532 1321431844415 2642863688830 2907150057713 5285727377660 5814300115426 11628600230852 14535750288565 29071500577130 58143001154260