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155732903531401 = 724728324572
BaseRepresentation
bin100011011010001101100100…
…011001010001001110001001
3202102101220211210212220020211
4203122031210121101032021
5130403011441301001101
61311114412550521121
744542221345560200
oct4332154431211611
9672356753786224
10155732903531401
1145691a54105579
12155720b63661a1
1368b871bb6b401
142a65726da6237
151300e846bcc51
hex8da364651389

155732903531401 has 81 divisors (see below), whose sum is σ = 187762921022439. Its totient is φ = 128788761705408.

The previous prime is 155732903531363. The next prime is 155732903531407. The reversal of 155732903531401 is 104135309237551.

The square root of 155732903531401 is 12479299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 134687049975625 + 21045853555776 = 11605475^2 + 4587576^2 .

It is not a de Polignac number, because 155732903531401 - 29 = 155732903530889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (155732903531407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 340772217565 + ... + 340772218021.

Almost surely, 2155732903531401 is an apocalyptic number.

155732903531401 is the 12479299-th square number.

155732903531401 is the 6239650-th centered octagonal number.

It is an amenable number.

155732903531401 is a deficient number, since it is larger than the sum of its proper divisors (32030017491038).

155732903531401 is an frugal number, since it uses more digits than its factorization.

155732903531401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 49.

155732903531401 divided by its sum of digits (49) gives a square (3178222521049 = 17827572).

The spelling of 155732903531401 in words is "one hundred fifty-five trillion, seven hundred thirty-two billion, nine hundred three million, five hundred thirty-one thousand, four hundred one".

Divisors: 1 7 47 49 83 329 457 581 2209 2303 3199 3901 4067 6889 15463 21479 22393 27307 37931 48223 108241 150353 183347 191149 208849 265517 323783 337561 1009513 1052471 1283429 1461943 1782757 1858619 2266481 3148273 7066591 8984003 9815903 10233601 12479299 15217801 15865367 17334467 22037911 49466137 68711321 83789579 87355093 106524607 121341269 147968831 154265377 461347441 480979247 586527053 745672249 814719949 849388883 1035781817 1438760761 3229432087 4105689371 5703039643 6954535057 7250472719 10071325327 22606024609 38291837603 39921277501 48681745399 67621755767 70499277289 268042863221 340772217793 473352290369 1876300042547 3178222521049 3313466032583 22247557647343 155732903531401