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26890240096 = 254771419601
BaseRepresentation
bin11001000010110010…
…001000000001100000
32120102000201201202101
4121002302020001200
5420032400140341
620204143100144
71641236161306
oct310262100140
976360651671
1026890240096
1110449926425
1252655a1654
1326c7030895
141431430276
15a75b03831
hex642c88060

26890240096 has 96 divisors (see below), whose sum is σ = 55050347520. Its totient is φ = 12921216000.

The previous prime is 26890240073. The next prime is 26890240099. The reversal of 26890240096 is 69004209862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26890240099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44742196 + ... + 44742796.

It is an arithmetic number, because the mean of its divisors is an integer number (573441120).

Almost surely, 226890240096 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 26890240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27525173760).

26890240096 is an abundant number, since it is smaller than the sum of its proper divisors (28160107424).

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

26890240096 is a wasteful number, since it uses less digits than its factorization.

26890240096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 26890240096 in words is "twenty-six billion, eight hundred ninety million, two hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 47 71 94 142 188 284 376 419 568 601 752 838 1136 1202 1504 1676 2272 2404 3337 3352 4808 6674 6704 9616 13348 13408 19232 19693 26696 28247 29749 39386 42671 53392 56494 59498 78772 85342 106784 112988 118996 157544 170684 225976 237992 251819 315088 341368 451952 475984 503638 630176 682736 903904 951968 1007276 1365472 1398203 2005537 2014552 2796406 4011074 4029104 5592812 8022148 8058208 11185624 11835493 16044296 17879149 22371248 23670986 32088592 35758298 44742496 47341972 64177184 71516596 94683944 143033192 189367888 286066384 378735776 572132768 840320003 1680640006 3361280012 6722560024 13445120048 26890240096