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26045834490 = 232513109204233
BaseRepresentation
bin11000010000011100…
…111110010011111010
32111020011211111000200
4120100130332103322
5411320213200430
615544300343030
71611303640344
oct302034762372
974204744020
1026045834490
1110056215a55
12506a844a76
1325c1100ab0
141391226294
15a26909460
hex61073e4fa

26045834490 has 96 divisors (see below), whose sum is σ = 73597764240. Its totient is φ = 6352432128.

The previous prime is 26045834461. The next prime is 26045834567. The reversal of 26045834490 is 9443854062.

26045834490 is a `hidden beast` number, since 2 + 60 + 4 + 583 + 4 + 4 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10283785281 + 15762049209 = 101409^2 + 125547^2 .

It is a super-3 number, since 3×260458344903 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25414 + ... + 229646.

Almost surely, 226045834490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26045834490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36798882120).

26045834490 is an abundant number, since it is smaller than the sum of its proper divisors (47551929750).

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

26045834490 is a wasteful number, since it uses less digits than its factorization.

26045834490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204368 (or 204365 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 26045834490 in words is "twenty-six billion, forty-five million, eight hundred thirty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 195 218 234 327 390 545 585 654 981 1090 1170 1417 1635 1962 2834 3270 4251 4905 7085 8502 9810 12753 14170 21255 25506 42510 63765 127530 204233 408466 612699 1021165 1225398 1838097 2042330 2655029 3063495 3676194 5310058 6126990 7965087 9190485 13275145 15930174 18380970 22261397 23895261 26550290 39825435 44522794 47790522 66784191 79650870 111306985 119476305 133568382 200352573 222613970 238952610 289398161 333920955 400705146 578796322 667841910 868194483 1001762865 1446990805 1736388966 2003525730 2604583449 2893981610 4340972415 5209166898 8681944830 13022917245 26045834490