Search a number
-
+
155727727551 = 3311719729257
BaseRepresentation
bin1001000100001000011…
…0001000101110111111
3112212221221012012222000
42101002012020232333
510022412244240201
6155312413353343
714152035562254
oct2210206105677
9485857165860
10155727727551
1160053273690
1226220a98853
13118ba107c66
14777436742b
1540b6883d86
hex2442188bbf

155727727551 has 32 divisors (see below), whose sum is σ = 252031564800. Its totient is φ = 94249045440.

The previous prime is 155727727543. The next prime is 155727727601.

155727727551 is a `hidden beast` number, since 1 + 5 + 57 + 277 + 275 + 51 = 666.

155727727551 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 155727727551 - 23 = 155727727543 is a prime.

It is a super-2 number, since 2×1557277275512 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155727727501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151086 + ... + 578171.

It is an arithmetic number, because the mean of its divisors is an integer number (7875986400).

Almost surely, 2155727727551 is an apocalyptic number.

155727727551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

155727727551 is a deficient number, since it is larger than the sum of its proper divisors (96303837249).

155727727551 is a wasteful number, since it uses less digits than its factorization.

155727727551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729996 (or 729990 counting only the distinct ones).

The product of its digits is 6002500, while the sum is 54.

The spelling of 155727727551 in words is "one hundred fifty-five billion, seven hundred twenty-seven million, seven hundred twenty-seven thousand, five hundred fifty-one".

Divisors: 1 3 9 11 27 33 99 297 719 2157 6471 7909 19413 23727 71181 213543 729257 2187771 6563313 8021827 19689939 24065481 72196443 216589329 524335783 1573007349 4719022047 5767693613 14157066141 17303080839 51909242517 155727727551