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155542518422172 = 2235748337472939
BaseRepresentation
bin100011010111011100010000…
…100011101101101010011100
3202101201201102112201021100000
4203113130100203231222130
5130341402034204002142
61310451125125134300
744522401415052540
oct4327342043555234
9671651375637300
10155542518422172
11456192367340a2
121554122285a390
1368a379a80cb1b
142a5a425c3ba20
1512eb0403d514c
hex8d77108eda9c

155542518422172 has 144 divisors (see below), whose sum is σ = 465998088308480. Its totient is φ = 44439706190592.

The previous prime is 155542518422107. The next prime is 155542518422251. The reversal of 155542518422172 is 271224815245551.

155542518422172 is a `hidden beast` number, since 1 + 5 + 5 + 5 + 42 + 5 + 1 + 8 + 422 + 172 = 666.

155542518422172 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1555425184221722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328648479 + ... + 329121417.

Almost surely, 2155542518422172 is an apocalyptic number.

155542518422172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

155542518422172 is an abundant number, since it is smaller than the sum of its proper divisors (310455569886308).

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

155542518422172 is a wasteful number, since it uses less digits than its factorization.

155542518422172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521302 (or 521288 counting only the distinct ones).

The product of its digits is 8960000, while the sum is 54.

The spelling of 155542518422172 in words is "one hundred fifty-five trillion, five hundred forty-two billion, five hundred eighteen million, four hundred twenty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 48337 96674 145011 193348 290022 338359 435033 472939 580044 676718 870066 945878 1015077 1305099 1353436 1418817 1740132 1891756 2030154 2610198 2837634 3045231 3310573 3915297 4060308 4256451 5220396 5675268 6090462 6621146 7830594 8512902 9135693 9931719 11745891 12180924 12769353 13242292 15661188 17025804 18271386 19863438 23491782 25538706 27407079 29795157 36542772 38308059 39726876 46983564 51077412 54814158 59590314 76616118 82221237 89385471 109628316 114924177 119180628 153232236 164442474 178770942 229848354 268156413 328884948 357541884 459696708 536312826 804469239 1072625652 1608938478 3217876956 22860452443 45720904886 68581357329 91441809772 137162714658 160023167101 205744071987 274325429316 320046334202 411488143974 480069501303 617232215961 640092668404 822976287948 960139002606 1234464431922 1440208503909 1851696647883 1920278005212 2468928863844 2880417007818 3703393295766 4320625511727 5555089943649 5760834015636 7406786591532 8641251023454 11110179887298 12961876535181 17282502046908 22220359774596 25923753070362 38885629605543 51847506140724 77771259211086 155542518422172