Search a number
-
+
215150656176351 = 32741593140463529
BaseRepresentation
bin110000111010110110101010…
…011011110100000011011111
31001012210012110011011011102100
4300322312222123310003133
5211200012020440120401
62041330502535500143
763214056554055150
oct6072665233640337
91035705404134370
10215150656176351
116260a976499a85
122016977b527653
13930880999512c
143b1b4c1097927
1519d1867beab86
hexc3adaa6f40df

215150656176351 has 48 divisors (see below), whose sum is σ = 364445551229760. Its totient is φ = 119742348349440.

The previous prime is 215150656176241. The next prime is 215150656176361. The reversal of 215150656176351 is 153671656051512.

215150656176351 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 5 + 0 + 6 + 561 + 76 + 3 + 5 + 1 = 666.

It is not a de Polignac number, because 215150656176351 - 211 = 215150656174303 is a prime.

It is a super-2 number, since 2×2151506561763512 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215150656176361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68700046 + ... + 71763483.

It is an arithmetic number, because the mean of its divisors is an integer number (7592615650620).

Almost surely, 2215150656176351 is an apocalyptic number.

215150656176351 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

215150656176351 is a deficient number, since it is larger than the sum of its proper divisors (149294895053409).

215150656176351 is a wasteful number, since it uses less digits than its factorization.

215150656176351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140464176 (or 140464173 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 215150656176351 in words is "two hundred fifteen trillion, one hundred fifty billion, six hundred fifty-six million, one hundred seventy-six thousand, three hundred fifty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 593 861 1779 2583 4151 5337 12453 24313 37359 72939 170191 218817 510573 1531719 140463529 421390587 983244703 1264171761 2949734109 5759004689 8849202327 17277014067 40313032823 51831042201 83294872697 120939098469 249884618091 362817295407 583064108879 749653854273 1749192326637 3415089780577 5247576979911 10245269341731 23905628464039 30735808025193 71716885392117 215150656176351