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135104010016 = 2523216747791
BaseRepresentation
bin111110111010011010…
…0111001011100100000
3110220201122000211002211
41331310310321130200
54203143111310031
6142022123451504
712522001065013
oct1756464713440
9426648024084
10135104010016
115232a767428
1222226086b94
13c98144c1c1
1467792c337a
1537aaeb2bb1
hex1f74d39720

135104010016 has 72 divisors (see below), whose sum is σ = 279724281984. Its totient is φ = 64226701440.

The previous prime is 135104010007. The next prime is 135104010103. The reversal of 135104010016 is 610010401531.

135104010016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2803081 + ... + 2850871.

It is an arithmetic number, because the mean of its divisors is an integer number (3885059472).

Almost surely, 2135104010016 is an apocalyptic number.

135104010016 is a gapful number since it is divisible by the number (16) 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 135104010016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139862140992).

135104010016 is an abundant number, since it is smaller than the sum of its proper divisors (144620271968).

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

135104010016 is a wasteful number, since it uses less digits than its factorization.

135104010016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48014 (or 47983 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 135104010016 its reverse (610010401531), we get a palindrome (745114411547).

The spelling of 135104010016 in words is "one hundred thirty-five billion, one hundred four million, ten thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 167 184 334 368 529 668 736 1058 1336 2116 2672 3841 4232 5344 7682 8464 15364 16928 30728 47791 61456 88343 95582 122912 176686 191164 353372 382328 706744 764656 1099193 1413488 1529312 2198386 2826976 4396772 7981097 8793544 15962194 17587088 25281439 31924388 35174176 50562878 63848776 101125756 127697552 183565231 202251512 255395104 367130462 404503024 734260924 809006048 1468521848 2937043696 4222000313 5874087392 8444000626 16888001252 33776002504 67552005008 135104010016