Search a number
-
+
27072533430 = 23253122942373
BaseRepresentation
bin11001001101101001…
…100001001110110110
32120212201202012012100
4121031221201032312
5420421032032210
620234214202530
71645611510615
oct311551411666
976781665170
1027072533430
1110532815078
1252b6653446
132725a28567
14144b72387c
15a86b115c0
hex64da613b6

27072533430 has 96 divisors (see below), whose sum is σ = 72978197760. Its totient is φ = 6955787520.

The previous prime is 27072533419. The next prime is 27072533437. The reversal of 27072533430 is 3433527072.

27072533430 is a `hidden beast` number, since 27 + 0 + 72 + 533 + 4 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27072533437) 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, 617724 + ... + 660096.

It is an arithmetic number, because the mean of its divisors is an integer number (760189560).

Almost surely, 227072533430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27072533430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36489098880).

27072533430 is an abundant number, since it is smaller than the sum of its proper divisors (45905664330).

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

27072533430 is a wasteful number, since it uses less digits than its factorization.

27072533430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42646 (or 42643 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The spelling of 27072533430 in words is "twenty-seven billion, seventy-two million, five hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 229 279 310 458 465 558 687 930 1145 1374 1395 2061 2290 2790 3435 4122 6870 7099 10305 14198 20610 21297 35495 42373 42594 63891 70990 84746 106485 127119 127782 211865 212970 254238 319455 381357 423730 635595 638910 762714 1271190 1313563 1906785 2627126 3813570 3940689 6567815 7881378 9703417 11822067 13135630 19406834 19703445 23644134 29110251 39406890 48517085 58220502 59110335 87330753 97034170 118220670 145551255 174661506 291102510 300805927 436653765 601611854 873307530 902417781 1504029635 1804835562 2707253343 3008059270 4512088905 5414506686 9024177810 13536266715 27072533430