Search a number
-
+
272050111971 = 331117352715277
BaseRepresentation
bin1111110101011101110…
…0110100010111100011
3222000012122021121022000
43331113130310113203
513424124312040341
6324551134015043
725440440540331
oct3752734642743
9860178247260
10272050111971
11a5415217790
1244885047483
131c867408221
14d24b0b8b51
157123a458b6
hex3f577345e3

272050111971 has 64 divisors (see below), whose sum is σ = 465702773760. Its totient is φ = 155125946880.

The previous prime is 272050111933. The next prime is 272050111987. The reversal of 272050111971 is 179111050272.

272050111971 is a `hidden beast` number, since 2 + 72 + 0 + 501 + 1 + 19 + 71 = 666.

It is not a de Polignac number, because 272050111971 - 225 = 272016557539 is a prime.

It is a super-2 number, since 2×2720501119712 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272050111901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17800185 + ... + 17815461.

It is an arithmetic number, because the mean of its divisors is an integer number (7276605840).

Almost surely, 2272050111971 is an apocalyptic number.

272050111971 is a deficient number, since it is larger than the sum of its proper divisors (193652661789).

272050111971 is a wasteful number, since it uses less digits than its factorization.

272050111971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18841 (or 18835 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 272050111971 in words is "two hundred seventy-two billion, fifty million, one hundred eleven thousand, nine hundred seventy-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 3527 5049 10581 15277 31743 38797 45831 59959 95229 116391 137493 168047 179877 259709 349173 412479 504141 539631 659549 779127 1047519 1512423 1618893 1978647 2337381 2856799 4537269 5935941 7012143 8570397 17807823 25711191 53881979 77133573 161645937 484937811 592701769 915993643 1454813433 1778105307 2747980929 5334315921 8243942787 10075930073 16002947763 24731828361 30227790219 90683370657 272050111971