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155490248052 = 22357914232
BaseRepresentation
bin1001000011001111110…
…0001110010101110100
3112212100101100000100000
42100303330032111310
510021421000414202
6155233051351300
714143123205226
oct2206374162564
9485311300300
10155490248052
115aa41211837
1226175452530
131187cb5a449
1477509ca416
1540a0ac491c
hex2433f0e574

155490248052 has 108 divisors (see below), whose sum is σ = 413051795520. Its totient is φ = 51138043632.

The previous prime is 155490248027. The next prime is 155490248093. The reversal of 155490248052 is 250842094551.

155490248052 is a `hidden beast` number, since 1 + 5 + 549 + 0 + 24 + 80 + 5 + 2 = 666.

155490248052 is digitally balanced in base 2, 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 (108).

It is a junction number, because it is equal to n+sod(n) for n = 155490247989 and 155490248007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109268613 + ... + 109270035.

Almost surely, 2155490248052 is an apocalyptic number.

155490248052 is a gapful number since it is divisible by the number (12) 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 155490248052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206525897760).

155490248052 is an abundant number, since it is smaller than the sum of its proper divisors (257561547468).

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

155490248052 is an frugal number, since it uses more digits than its factorization.

155490248052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 155490248052 in words is "one hundred fifty-five billion, four hundred ninety million, two hundred forty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 474 486 711 948 972 1422 1423 2133 2844 2846 4266 4269 5692 6399 8532 8538 12798 12807 17076 19197 25596 25614 38394 38421 51228 76788 76842 112417 115263 153684 224834 230526 337251 345789 449668 461052 674502 691578 1011753 1349004 1383156 2023506 2024929 3035259 4047012 4049858 6070518 6074787 8099716 9105777 12141036 12149574 18211554 18224361 24299148 27317331 36423108 36448722 54634662 54673083 72897444 109269324 109346166 159969391 164019249 218692332 319938782 328038498 479908173 492057747 639877564 656076996 959816346 984115494 1439724519 1919632692 1968230988 2879449038 4319173557 5758898076 8638347114 12957520671 17276694228 25915041342 38872562013 51830082684 77745124026 155490248052