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135678024692 = 2271719113132761
BaseRepresentation
bin111111001011100001…
…0100101101111110100
3110222012122010210012122
41332113002211233310
54210332033242232
6142155110535112
712542141116130
oct1762702455764
9428178123178
10135678024692
11525a4787121
1222366367498
13ca4334a262
1467d16243c0
1537e159b312
hex1f970a5bf4

135678024692 has 96 divisors (see below), whose sum is σ = 305118938880. Its totient is φ = 51387678720.

The previous prime is 135678024689. The next prime is 135678024697. The reversal of 135678024692 is 296420876531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135678024697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955592 + ... + 1088352.

It is an arithmetic number, because the mean of its divisors is an integer number (3178322280).

It is a 2-persistent number, because it is pandigital, and so is 2⋅135678024692 = 271356049384, but 3⋅135678024692 = 407034074076 is not.

Almost surely, 2135678024692 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 135678024692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152559469440).

135678024692 is an abundant number, since it is smaller than the sum of its proper divisors (169440914188).

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

135678024692 is a wasteful number, since it uses less digits than its factorization.

135678024692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132921 (or 132919 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 135678024692 in words is "one hundred thirty-five billion, six hundred seventy-eight million, twenty-four thousand, six hundred ninety-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 113 119 133 226 238 266 323 452 476 532 646 791 1292 1582 1921 2147 2261 3164 3842 4294 4522 7684 8588 9044 13447 15029 26894 30058 36499 53788 60116 72998 132761 145996 255493 265522 510986 531044 929327 1021972 1858654 2256937 2522459 3717308 4513874 5044918 9027748 10089836 15001993 15798559 17657213 30003986 31597118 35314426 42881803 60007972 63194236 70628852 85763606 105013951 171527212 210027902 255033881 285037867 300172621 420055804 510067762 570075734 600345242 1020135524 1140151468 1200690484 1785237167 1995265069 3570474334 3990530138 4845643739 7140948668 7981060276 9691287478 19382574956 33919506173 67839012346 135678024692