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135215990008 = 231115716016113
BaseRepresentation
bin111110111101110000…
…0000100010011111000
3110221000102201222202221
41331323200010103320
54203410243140013
6142041203533424
712524530644211
oct1757340042370
9427012658687
10135215990008
11523879a0680
122225768a274
13c99b6c8858
14678a112408
1537b5c3208d
hex1f7b8044f8

135215990008 has 64 divisors (see below), whose sum is σ = 278559220320. Its totient is φ = 61022208000.

The previous prime is 135215990003. The next prime is 135215990009. The reversal of 135215990008 is 800099512531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135215990003) 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 15 ways as a sum of consecutive naturals, for example, 22116360 + ... + 22122472.

Almost surely, 2135215990008 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 135215990008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139279610160).

135215990008 is an abundant number, since it is smaller than the sum of its proper divisors (143343230312).

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

135215990008 is a wasteful number, since it uses less digits than its factorization.

135215990008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 135215990008 in words is "one hundred thirty-five billion, two hundred fifteen million, nine hundred ninety thousand, eight".

Divisors: 1 2 4 8 11 22 44 88 157 314 628 1256 1601 1727 3202 3454 6113 6404 6908 12226 12808 13816 17611 24452 35222 48904 67243 70444 134486 140888 251357 268972 502714 537944 959741 1005428 1919482 2010856 2764927 3838964 5529854 7677928 9786913 10557151 11059708 19573826 21114302 22119416 39147652 42228604 78295304 84457208 107656043 215312086 430624172 861248344 1536545341 3073090682 6146181364 12292362728 16901998751 33803997502 67607995004 135215990008