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155541356106660 = 223251546155890217
BaseRepresentation
bin100011010111011011001011…
…010001110101001110100100
3202101201121102112121112012100
4203113123023101311032210
5130341342144130403120
61310450413524452100
744522330542406556
oct4327331321651644
9671647375545170
10155541356106660
114561879a627267
1215540b5954a030
1368a3643a81274
142a5a35571b4d6
1512eaec3340490
hex8d76cb4753a4

155541356106660 has 72 divisors (see below), whose sum is σ = 471839304690936. Its totient is φ = 41475011489280.

The previous prime is 155541356106659. The next prime is 155541356106673. The reversal of 155541356106660 is 66601653145551.

It can be written as a sum of positive squares in 4 ways, for example, as 850497106176 + 154690859000484 = 922224^2 + 12437478^2 .

It is a super-2 number, since 2×1555413561066602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 155541356106597 and 155541356106606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25162129 + ... + 30728088.

It is an arithmetic number, because the mean of its divisors is an integer number (6553323676263).

Almost surely, 2155541356106660 is an apocalyptic number.

155541356106660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155541356106660 is an abundant number, since it is smaller than the sum of its proper divisors (316297948584276).

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

155541356106660 is a wasteful number, since it uses less digits than its factorization.

155541356106660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55905693 (or 55905688 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 155541356106660 in words is "one hundred fifty-five trillion, five hundred forty-one billion, three hundred fifty-six million, one hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15461 30922 46383 61844 77305 92766 139149 154610 185532 231915 278298 309220 463830 556596 695745 927660 1391490 2782980 55890217 111780434 167670651 223560868 279451085 335341302 503011953 558902170 670682604 838353255 1006023906 1117804340 1676706510 2012047812 2515059765 3353413020 5030119530 10060239060 864118645037 1728237290074 2592355935111 3456474580148 4320593225185 5184711870222 7777067805333 8641186450370 10369423740444 12961779675555 15554135610666 17282372900740 25923559351110 31108271221332 38885339026665 51847118702220 77770678053330 155541356106660