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26444005152 = 2534319932191
BaseRepresentation
bin11000101000001011…
…110111111100100000
32112020221001122111020
4120220023313330200
5413124131131102
620052002445440
71624210222635
oct305013677440
975227048436
1026444005152
111023aa51514
125160063880
132655751836
1413cc07218c
15a4b85abbc
hex6282f7f20

26444005152 has 96 divisors (see below), whose sum is σ = 71388979200. Its totient is φ = 8566145280.

The previous prime is 26444005123. The next prime is 26444005153. The reversal of 26444005152 is 25150044462.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (26444005153) 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 15 ways as a sum of consecutive naturals, for example, 805377 + ... + 837567.

It is an arithmetic number, because the mean of its divisors is an integer number (743635200).

Almost surely, 226444005152 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 26444005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35694489600).

26444005152 is an abundant number, since it is smaller than the sum of its proper divisors (44944974048).

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

26444005152 is a wasteful number, since it uses less digits than its factorization.

26444005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32446 (or 32438 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 26444005152 in words is "twenty-six billion, four hundred forty-four million, five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 199 258 344 398 516 597 688 796 1032 1194 1376 1592 2064 2388 3184 4128 4776 6368 8557 9552 17114 19104 25671 32191 34228 51342 64382 68456 96573 102684 128764 136912 193146 205368 257528 273824 386292 410736 515056 772584 821472 1030112 1384213 1545168 2768426 3090336 4152639 5536852 6406009 8305278 11073704 12812018 16610556 19218027 22147408 25624036 33221112 38436054 44294816 51248072 66442224 76872108 102496144 132884448 153744216 204992288 275458387 307488432 550916774 614976864 826375161 1101833548 1652750322 2203667096 3305500644 4407334192 6611001288 8814668384 13222002576 26444005152