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26756809056 = 253489115987
BaseRepresentation
bin11000111010110101…
…001000000101100000
32120001201122201210000
4120322311020011200
5414244220342211
620143015140000
71635026060445
oct307265100540
976051581700
1026756809056
111039058073a
125228974600
1326a54b34c3
14141b8199cc
15a69048656
hex63ad48160

26756809056 has 120 divisors (see below), whose sum is σ = 79575887160. Its totient is φ = 8818647552.

The previous prime is 26756809049. The next prime is 26756809067. The reversal of 26756809056 is 65090865762.

It is a happy number.

26756809056 is a `hidden beast` number, since 26 + 7 + 568 + 0 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×267568090562 (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 a junction number, because it is equal to n+sod(n) for n = 26756808993 and 26756809011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172695 + ... + 288681.

It is an arithmetic number, because the mean of its divisors is an integer number (663132393).

Almost surely, 226756809056 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 26756809056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39787943580).

26756809056 is an abundant number, since it is smaller than the sum of its proper divisors (52819078104).

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

26756809056 is a wasteful number, since it uses less digits than its factorization.

26756809056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116098 (or 116081 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 26756809056 in words is "twenty-six billion, seven hundred fifty-six million, eight hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 267 288 324 356 432 534 648 712 801 864 1068 1296 1424 1602 2136 2403 2592 2848 3204 4272 4806 6408 7209 8544 9612 12816 14418 19224 25632 28836 38448 57672 76896 115344 115987 230688 231974 347961 463948 695922 927896 1043883 1391844 1855792 2087766 2783688 3131649 3711584 4175532 5567376 6263298 8351064 9394947 10322843 11134752 12526596 16702128 18789894 20645686 25053192 30968529 33404256 37579788 41291372 50106384 61937058 75159576 82582744 92905587 100212768 123874116 150319152 165165488 185811174 247748232 278716761 300638304 330330976 371622348 495496464 557433522 743244696 836150283 990992928 1114867044 1486489392 1672300566 2229734088 2972978784 3344601132 4459468176 6689202264 8918936352 13378404528 26756809056