Search a number
-
+
26097928704 = 29332965099
BaseRepresentation
bin11000010011100011…
…101100101000000000
32111100210212010212000
4120103203230220000
5411422032204304
615553401104000
71612505506461
oct302343545000
974323763760
1026097928704
1110082667121
125084188000
1325cbb40483
141398106d68
15a2b299939
hex6138eca00

26097928704 has 160 divisors (see below), whose sum is σ = 79916760000. Its totient is φ = 8399204352.

The previous prime is 26097928693. The next prime is 26097928823. The reversal of 26097928704 is 40782979062.

26097928704 is a `hidden beast` number, since 2 + 609 + 7 + 9 + 28 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×260979287042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 368347 + ... + 433445.

It is an arithmetic number, because the mean of its divisors is an integer number (499479750).

Almost surely, 226097928704 is an apocalyptic number.

26097928704 is a gapful number since it is divisible by the number (24) 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 26097928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39958380000).

26097928704 is an abundant number, since it is smaller than the sum of its proper divisors (53818831296).

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

26097928704 is an equidigital number, since it uses as much as digits as its factorization.

26097928704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65155 (or 65133 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 26097928704 in words is "twenty-six billion, ninety-seven million, nine hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 512 522 576 696 768 783 864 928 1044 1152 1392 1536 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 4608 5568 6264 6912 7424 8352 11136 12528 13824 14848 16704 22272 25056 33408 44544 50112 65099 66816 100224 130198 133632 195297 200448 260396 390594 400896 520792 585891 781188 1041584 1171782 1562376 1757673 1887871 2083168 2343564 3124752 3515346 3775742 4166336 4687128 5663613 6249504 7030692 7551484 8332672 9374256 11327226 12499008 14061384 15102968 16665344 16990839 18748512 22654452 24998016 28122768 30205936 33330688 33981678 37497024 45308904 49996032 50972517 56245536 60411872 67963356 74994048 90617808 99992064 101945034 112491072 120823744 135926712 149988096 181235616 203890068 224982144 241647488 271853424 299976192 362471232 407780136 449964288 483294976 543706848 724942464 815560272 899928576 966589952 1087413696 1449884928 1631120544 2174827392 2899769856 3262241088 4349654784 6524482176 8699309568 13048964352 26097928704