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157104055268655 = 35113127357117351
BaseRepresentation
bin100011101110001010100011…
…011010000011010100101111
3202121021000000201210002211220
4203232022203122003110233
5131042443101122044110
61314044335011114423
745043251642206025
oct4356124332032457
9677230021702756
10157104055268655
1146070501561000
121575399a2a2a13
136987b05ba6c11
142ab1c3c0d2715
151326984da9370
hex8ee2a368352f

157104055268655 has 128 divisors (see below), whose sum is σ = 278755392356352. Its totient is φ = 75546369360000.

The previous prime is 157104055268653. The next prime is 157104055268683. The reversal of 157104055268655 is 556862550401751.

157104055268655 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157104055268655 - 21 = 157104055268653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157104055268653) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9054458230 + ... + 9054475580.

It is an arithmetic number, because the mean of its divisors is an integer number (2177776502784).

Almost surely, 2157104055268655 is an apocalyptic number.

157104055268655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157104055268655 is a deficient number, since it is larger than the sum of its proper divisors (121651337087697).

157104055268655 is a wasteful number, since it uses less digits than its factorization.

157104055268655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21090 (or 21068 counting only the distinct ones).

The product of its (nonzero) digits is 50400000, while the sum is 60.

The spelling of 157104055268655 in words is "one hundred fifty-seven trillion, one hundred four billion, fifty-five million, two hundred sixty-eight thousand, six hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 121 127 165 363 381 605 635 1331 1397 1815 1905 3571 3993 4191 6655 6985 10713 15367 17351 17855 19965 20955 39281 46101 52053 53565 76835 86755 117843 169037 190861 196405 230505 260265 432091 453517 507111 572583 589215 845185 954305 1296273 1360551 2099471 2160455 2203577 2267585 2535555 2862915 4753001 4988687 6298413 6481365 6610731 6802755 10497355 11017885 14259003 14966061 23094181 23765005 24239347 24943435 31492065 33053655 54875557 61960421 69282543 71295015 72718041 74830305 115470905 121196735 164626671 185881263 266632817 274377785 309802105 346412715 363590205 603631127 681564631 799898451 823133355 929406315 1333164085 1810893381 2044693893 2932960987 3018155635 3407823155 3999492255 7497210941 7868973467 8798882961 9054466905 10223469465 14664804935 22491632823 23606920401 37486054705 39344867335 43994414805 82469320351 86558708137 112458164115 118034602005 247407961053 259676124411 412346601755 432793540685 952145789507 1237039805265 1298380622055 2856437368521 4760728947535 10473603684577 14282186842605 31420811053731 52368018422885 157104055268655