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26193026048 = 21072737151
BaseRepresentation
bin11000011001001110…
…011101110000000000
32111121102210120212212
4120121032131300000
5412120403313143
620011035241252
71615042022300
oct303116356000
974542716785
1026193026048
111012130a172
1250abba9228
1326157585a7
1413a69bd600
15a347d1918
hex61939dc00

26193026048 has 132 divisors (see below), whose sum is σ = 61752127392. Its totient is φ = 11070259200.

The previous prime is 26193026033. The next prime is 26193026059. The reversal of 26193026048 is 84062039162.

It is a super-2 number, since 2×261930260482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26193025996 and 26193026014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3659273 + ... + 3666423.

Almost surely, 226193026048 is an apocalyptic number.

26193026048 is a gapful number since it is divisible by the number (28) 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 26193026048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30876063696).

26193026048 is an abundant number, since it is smaller than the sum of its proper divisors (35559101344).

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

26193026048 is an equidigital number, since it uses as much as digits as its factorization.

26193026048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7258 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 26193026048 in words is "twenty-six billion, one hundred ninety-three million, twenty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 73 98 112 128 146 196 224 256 292 392 448 511 512 584 784 896 1022 1024 1168 1568 1792 2044 2336 3136 3577 3584 4088 4672 6272 7151 7154 7168 8176 9344 12544 14302 14308 16352 18688 25088 28604 28616 32704 37376 50057 50176 57208 57232 65408 74752 100114 114416 114464 130816 200228 228832 228928 261632 350399 400456 457664 457856 522023 523264 700798 800912 915328 915712 1044046 1401596 1601824 1830656 1831424 2088092 2803192 3203648 3654161 3661312 3662848 4176184 5606384 6407296 7308322 7322624 8352368 11212768 12814592 14616644 16704736 22425536 25579127 25629184 29233288 33409472 44851072 51158254 51258368 58466576 66818944 89702144 102316508 116933152 133637888 179404288 204633016 233866304 267275776 358808576 409266032 467732608 534551552 818532064 935465216 1637064128 1870930432 3274128256 3741860864 6548256512 13096513024 26193026048