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215404100052 = 223291275239319
BaseRepresentation
bin1100100010011100010…
…1011011100111010100
3202120222212211001020120
43020213011123213110
512012121422200202
6242542201231540
721363625432461
oct3104705334724
9676885731216
10215404100052
1183396aa95a9
12358b64925b0
131740a7b3a8b
14a5d5c56668
15590a9ac0bc
hex322715b9d4

215404100052 has 96 divisors (see below), whose sum is σ = 525093273600. Its totient is φ = 68640711552.

The previous prime is 215404100029. The next prime is 215404100053. The reversal of 215404100052 is 250001404512.

215404100052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 215404099995 and 215404100031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215404100053) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23109849 + ... + 23119167.

It is an arithmetic number, because the mean of its divisors is an integer number (5469721600).

Almost surely, 2215404100052 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 215404100052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262546636800).

215404100052 is an abundant number, since it is smaller than the sum of its proper divisors (309689173548).

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

215404100052 is a wasteful number, since it uses less digits than its factorization.

215404100052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005 (or 10003 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 215404100052 its reverse (250001404512), we get a palindrome (465405504564).

The spelling of 215404100052 in words is "two hundred fifteen billion, four hundred four million, one hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 127 174 254 348 381 508 523 762 1046 1524 1569 2092 3138 3683 6276 7366 9319 11049 14732 15167 18638 22098 27957 30334 37276 44196 45501 55914 60668 66421 91002 111828 132842 182004 199263 265684 270251 398526 540502 797052 810753 1081004 1183513 1621506 1926209 2367026 3243012 3550539 3852418 4734052 4873837 5778627 7101078 7704836 9747674 11557254 14202156 14621511 19495348 23114508 29243022 34321877 58486044 68643754 102965631 137287508 141341273 205931262 282682546 411862524 424023819 565365092 618977299 848047638 1237954598 1696095276 1856931897 2475909196 3713863794 7427727588 17950341671 35900683342 53851025013 71801366684 107702050026 215404100052