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26997733152 = 25321312756779
BaseRepresentation
bin11001001001001100…
…001011011100100000
32120200111222221111200
4121021030023130200
5420242404430102
620222543041200
71644012642165
oct311114133440
976614887450
1026997733152
11104a4575565
1252955a0200
132713398b40
14144181206c
15a8028851c
hex64930b720

26997733152 has 144 divisors (see below), whose sum is σ = 83333053440. Its totient is φ = 8241440256.

The previous prime is 26997733121. The next prime is 26997733187. The reversal of 26997733152 is 25133779962.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447099 + ... + 503877.

It is an arithmetic number, because the mean of its divisors is an integer number (578701760).

Almost surely, 226997733152 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 26997733152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41666526720).

26997733152 is an abundant number, since it is smaller than the sum of its proper divisors (56335320288).

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

26997733152 is a wasteful number, since it uses less digits than its factorization.

26997733152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56935 (or 56924 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 26997733152 in words is "twenty-six billion, nine hundred ninety-seven million, seven hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 127 144 156 208 234 254 288 312 381 416 468 508 624 762 936 1016 1143 1248 1524 1651 1872 2032 2286 3048 3302 3744 4064 4572 4953 6096 6604 9144 9906 12192 13208 14859 18288 19812 26416 29718 36576 39624 52832 56779 59436 79248 113558 118872 158496 170337 227116 237744 340674 454232 475488 511011 681348 738127 908464 1022022 1362696 1476254 1816928 2044044 2214381 2725392 2952508 4088088 4428762 5450784 5905016 6643143 7210933 8176176 8857524 11810032 13286286 14421866 16352352 17715048 21632799 23620064 26572572 28843732 35430096 43265598 53145144 57687464 64898397 70860192 86531196 93742129 106290288 115374928 129796794 173062392 187484258 212580576 230749856 259593588 281226387 346124784 374968516 519187176 562452774 692249568 749937032 843679161 1038374352 1124905548 1499874064 1687358322 2076748704 2249811096 2999748128 3374716644 4499622192 6749433288 8999244384 13498866576 26997733152