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26870057856 = 273324132261
BaseRepresentation
bin11001000001100101…
…001000101110000000
32120100121202100221000
4121001211020232000
5420012213322411
620202142332000
71640602503045
oct310145105600
976317670830
1026870057856
11104394a1194
12525a88a000
1326c2ab5525
14142c8991cc
15a73e68956
hex641948b80

26870057856 has 128 divisors (see below), whose sum is σ = 79635520800. Its totient is φ = 8919244800.

The previous prime is 26870057839. The next prime is 26870057857. The reversal of 26870057856 is 65875007862.

26870057856 is a `hidden beast` number, since 2 + 68 + 7 + 0 + 0 + 578 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26870057857) 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, 816766 + ... + 849026.

Almost surely, 226870057856 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 26870057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39817760400).

26870057856 is an abundant number, since it is smaller than the sum of its proper divisors (52765462944).

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

26870057856 is a wasteful number, since it uses less digits than its factorization.

26870057856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32525 (or 32507 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 26870057856 in words is "twenty-six billion, eight hundred seventy million, fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 241 288 384 432 482 576 723 864 964 1152 1446 1728 1928 2169 2892 3456 3856 4338 5784 6507 7712 8676 11568 13014 15424 17352 23136 26028 30848 32261 34704 46272 52056 64522 69408 92544 96783 104112 129044 138816 193566 208224 258088 277632 290349 387132 416448 516176 580698 774264 832896 871047 1032352 1161396 1548528 1742094 2064704 2322792 3097056 3484188 4129408 4645584 6194112 6968376 7774901 9291168 12388224 13936752 15549802 18582336 23324703 27873504 31099604 37164672 46649406 55747008 62199208 69974109 93298812 111494016 124398416 139948218 186597624 209922327 248796832 279896436 373195248 419844654 497593664 559792872 746390496 839689308 995187328 1119585744 1492780992 1679378616 2239171488 2985561984 3358757232 4478342976 6717514464 8956685952 13435028928 26870057856