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26354640048 = 24311174876029
BaseRepresentation
bin11000100010110110…
…111110010010110000
32112000200220102121120
4120202312332102300
5412433241440143
620035051222240
71622043513162
oct304266762260
975020812546
1026354640048
11101a4564160
125136147980
132640092889
1413c024c932
15a43aa7383
hex622dbe4b0

26354640048 has 160 divisors (see below), whose sum is σ = 78815669760. Its totient is φ = 7499796480.

The previous prime is 26354640043. The next prime is 26354640083. The reversal of 26354640048 is 84004645362.

It is a junction number, because it is equal to n+sod(n) for n = 26354639991 and 26354640009.

It is not an unprimeable number, because it can be changed into a prime (26354640041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4368298 + ... + 4374326.

It is an arithmetic number, because the mean of its divisors is an integer number (492597936).

Almost surely, 226354640048 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 26354640048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39407834880).

26354640048 is an abundant number, since it is smaller than the sum of its proper divisors (52461029712).

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

26354640048 is a wasteful number, since it uses less digits than its factorization.

26354640048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 26354640048 in words is "twenty-six billion, three hundred fifty-four million, six hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 487 528 561 748 816 974 1122 1461 1496 1948 2244 2922 2992 3896 4488 5357 5844 6029 7792 8279 8976 10714 11688 12058 16071 16558 18087 21428 23376 24116 24837 32142 33116 36174 42856 48232 49674 64284 66232 66319 72348 85712 91069 96464 99348 102493 128568 132464 132638 144696 182138 198696 198957 204986 257136 265276 273207 289392 307479 364276 397392 397914 409972 530552 546414 614958 728552 795828 819944 1061104 1092828 1127423 1229916 1457104 1591656 1639888 2185656 2254846 2459832 2936123 3183312 3382269 4371312 4509692 4919664 5872246 6764538 8808369 9019384 11744492 13529076 17616738 18038768 23488984 27058152 32297353 35233476 46977968 49914091 54116304 64594706 70466952 96892059 99828182 129189412 140933904 149742273 193784118 199656364 258378824 299484546 387568236 399312728 516757648 549055001 598969092 775136472 798625456 1098110002 1197938184 1550272944 1647165003 2196220004 2395876368 3294330006 4392440008 6588660012 8784880016 13177320024 26354640048