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26460641142 = 2341313791711
BaseRepresentation
bin11000101001001011…
…010101011101110110
32112022002100211210000
4120221023111131312
5413142411004032
620053355212130
71624501511235
oct305113253566
975262324700
1026460641142
1110249384371
125165747046
132659027a10
1413d0362b1c
15a4d044e7c
hex6292d5776

26460641142 has 80 divisors (see below), whose sum is σ = 64319092992. Its totient is φ = 8082218880.

The previous prime is 26460641113. The next prime is 26460641143. The reversal of 26460641142 is 24114606462.

26460641142 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 0 + 641 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26460641097 and 26460641106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26460641143) 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 39 ways as a sum of consecutive naturals, for example, 242667 + ... + 334377.

Almost surely, 226460641142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26460641142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159546496).

26460641142 is an abundant number, since it is smaller than the sum of its proper divisors (37858451850).

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

26460641142 is a wasteful number, since it uses less digits than its factorization.

26460641142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91875 (or 91866 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26460641142 in words is "twenty-six billion, four hundred sixty million, six hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 137 162 234 274 351 411 702 822 1053 1233 1781 2106 2466 3562 3699 5343 7398 10686 11097 16029 22194 32058 48087 91711 96174 144261 183422 275133 288522 550266 825399 1192243 1650798 2384486 2476197 3576729 4952394 7153458 7428591 10730187 12564407 14857182 21460374 25128814 32190561 37693221 64381122 75386442 96571683 113079663 163337291 193143366 226159326 326674582 339238989 490011873 678477978 980023746 1017716967 1470035619 2035433934 2940071238 4410106857 8820213714 13230320571 26460641142