Search a number
-
+
153105550025316 = 22374637095552447
BaseRepresentation
bin100010110011111110101001…
…111011000010001001100100
3202002002202012000201220120120
4202303332221323002021210
5130031440131301302231
61301343415123001540
744151340154342010
oct4263765173021144
9662082160656516
10153105550025316
1144869776599219
1215208a6ab092b0
136757a39985ca5
1429b44c34cd540
1512a796025ed96
hex8b3fa9ec2264

153105550025316 has 96 divisors (see below), whose sum is σ = 409740457082880. Its totient is φ = 43588389043584.

The previous prime is 153105550025251. The next prime is 153105550025347. The reversal of 153105550025316 is 613520055501351.

153105550025316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 24798205 + ... + 30350651.

It is an arithmetic number, because the mean of its divisors is an integer number (4268129761280).

Almost surely, 2153105550025316 is an apocalyptic number.

It is an amenable number.

153105550025316 is an abundant number, since it is smaller than the sum of its proper divisors (256634907057564).

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

153105550025316 is a wasteful number, since it uses less digits than its factorization.

153105550025316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553633 (or 5553631 counting only the distinct ones).

The product of its (nonzero) digits is 337500, while the sum is 42.

The spelling of 153105550025316 in words is "one hundred fifty-three trillion, one hundred five billion, five hundred fifty million, twenty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 463 709 926 1389 1418 1852 2127 2778 2836 3241 4254 4963 5556 6482 8508 9723 9926 12964 14889 19446 19852 29778 38892 59556 328267 656534 984801 1313068 1969602 2297869 3939204 4595738 5552447 6893607 9191476 11104894 13787214 16657341 22209788 27574428 33314682 38867129 66629364 77734258 116601387 155468516 233202774 466405548 2570782961 3936684923 5141565922 7712348883 7873369846 10283131844 11810054769 15424697766 15746739692 17995480727 23620109538 27556794461 30849395532 35990961454 47240219076 53986442181 55113588922 71981922908 82670383383 107972884362 110227177844 165340766766 215945768724 330681533532 1822685119349 3645370238698 5468055358047 7290740477396 10936110716094 12758795835443 21872221432188 25517591670886 38276387506329 51035183341772 76552775012658 153105550025316