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26130669312 = 283114371933
BaseRepresentation
bin11000010101100000…
…100101111100000000
32111110002110112112010
4120111200211330000
5412003422404222
620000530532520
71613354011236
oct302540457400
974402415463
1026130669312
111009a099680
125093137140
132605864a07
14139c5ca956
15a2e0b580c
hex615825f00

26130669312 has 144 divisors (see below), whose sum is σ = 77633474688. Its totient is φ = 7734128640.

The previous prime is 26130669287. The next prime is 26130669337. The reversal of 26130669312 is 21396603162.

It is an interprime number because it is at equal distance from previous prime (26130669287) and next prime (26130669337).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327298 + ... + 399230.

It is an arithmetic number, because the mean of its divisors is an integer number (539121352).

Almost surely, 226130669312 is an apocalyptic number.

26130669312 is a gapful number since it is divisible by the number (22) 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 26130669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38816737344).

26130669312 is an abundant number, since it is smaller than the sum of its proper divisors (51502805376).

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

26130669312 is a wasteful number, since it uses less digits than its factorization.

26130669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72006 (or 71992 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 26130669312 in words is "twenty-six billion, one hundred thirty million, six hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 256 258 264 344 352 384 473 516 528 688 704 768 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2816 2838 3784 4128 4224 5504 5676 7568 8256 8448 11008 11352 15136 16512 22704 30272 33024 45408 60544 71933 90816 121088 143866 181632 215799 287732 363264 431598 575464 791263 863196 1150928 1582526 1726392 2301856 2373789 3093119 3165052 3452784 4603712 4747578 6186238 6330104 6905568 9207424 9279357 9495156 12372476 12660208 13811136 18414848 18558714 18990312 24744952 25320416 27622272 34024309 37117428 37980624 49489904 50640832 55244544 68048618 74234856 75961248 98979808 101281664 102072927 136097236 148469712 151922496 197959616 202563328 204145854 272194472 296939424 303844992 395919232 408291708 544388944 593878848 607689984 791838464 816583416 1088777888 1187757696 1633166832 2177555776 2375515392 3266333664 4355111552 6532667328 8710223104 13065334656 26130669312