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155112265114656 = 25364313763182579
BaseRepresentation
bin100011010001001011100011…
…011101100110010000100000
3202100012120212110012122101020
4203101023203131212100200
5130312324404332132111
61305521331343405440
744446330346224023
oct4321134335462040
9670176773178336
10155112265114656
1145472818986013
12154919678b3880
1368720404a96b5
142a4368bb331ba
1512dec5ca28906
hex8d12e3766420

155112265114656 has 96 divisors (see below), whose sum is σ = 407834794402560. Its totient is φ = 51619644029184.

The previous prime is 155112265114643. The next prime is 155112265114657. The reversal of 155112265114656 is 656411562211551.

155112265114656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 155112265114599 and 155112265114608.

It is not an unprimeable number, because it can be changed into a prime (155112265114657) 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, 849471175 + ... + 849653753.

It is an arithmetic number, because the mean of its divisors is an integer number (4248279108360).

Almost surely, 2155112265114656 is an apocalyptic number.

155112265114656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

155112265114656 is an abundant number, since it is smaller than the sum of its proper divisors (252722529287904).

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

155112265114656 is a wasteful number, since it uses less digits than its factorization.

155112265114656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196998 (or 196990 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 51.

The spelling of 155112265114656 in words is "one hundred fifty-five trillion, one hundred twelve billion, two hundred sixty-five million, one hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 643 1286 1929 2572 3858 5144 7716 10288 13763 15432 20576 27526 30864 41289 55052 61728 82578 110104 165156 182579 220208 330312 365158 440416 547737 660624 730316 1095474 1321248 1460632 2190948 2921264 4381896 5842528 8763792 8849609 17527584 17699218 26548827 35398436 53097654 70796872 106195308 117398297 141593744 212390616 234796594 283187488 352194891 424781232 469593188 704389782 849562464 939186376 1408779564 1878372752 2512834777 2817559128 3756745504 5025669554 5635118256 7538504331 10051339108 11270236512 15077008662 20102678216 30154017324 40205356432 60308034648 80410712864 120616069296 241232138592 1615752761611 3231505523222 4847258284833 6463011046444 9694516569666 12926022092888 19389033139332 25852044185776 38778066278664 51704088371552 77556132557328 155112265114656