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260897800152 = 2331137142918691
BaseRepresentation
bin1111001011111010111…
…0000111111111011000
3220221102102020110112010
43302332232013333120
513233304314101102
6315504345145520
724564201465603
oct3627656077730
9827372213463
10260897800152
11a0712008860
124269218b2a0
131b7aaa82652
14c8adcbb33a
156bbe91bd6c
hex3cbeb87fd8

260897800152 has 128 divisors (see below), whose sum is σ = 731320761600. Its totient is φ = 76865241600.

The previous prime is 260897800129. The next prime is 260897800193. The reversal of 260897800152 is 251008798062.

260897800152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2608978001523 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13949127 + ... + 13967817.

It is an arithmetic number, because the mean of its divisors is an integer number (5713443450).

Almost surely, 2260897800152 is an apocalyptic number.

260897800152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260897800152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365660380800).

260897800152 is an abundant number, since it is smaller than the sum of its proper divisors (470422961448).

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

260897800152 is a wasteful number, since it uses less digits than its factorization.

260897800152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20177 (or 20173 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 260897800152 in words is "two hundred sixty billion, eight hundred ninety-seven million, eight hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1429 1628 2442 2858 3256 4287 4884 5716 8574 9768 11432 15719 17148 18691 31438 34296 37382 47157 52873 56073 62876 74764 94314 105746 112146 125752 149528 158619 188628 205601 211492 224292 317238 377256 411202 422984 448584 581603 616803 634476 691567 822404 1163206 1233606 1268952 1383134 1644808 1744809 2074701 2326412 2467212 2766268 3489618 4149402 4652824 4934424 5532536 6979236 7607237 8298804 13958472 15214474 16597608 22821711 26709439 30428948 45643422 53418878 60857896 80128317 91286844 106837756 160256634 182573688 213675512 293803829 320513268 587607658 641026536 881411487 988249243 1175215316 1762822974 1976498486 2350430632 2964747729 3525645948 3952996972 5929495458 7051291896 7905993944 10870741673 11858990916 21741483346 23717981832 32612225019 43482966692 65224450038 86965933384 130448900076 260897800152