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4427106156 = 22321131477673
BaseRepresentation
bin1000001111110000…
…00100011101101100
3102102112101021221200
410013320010131230
533031314344111
62011144125500
7214464532014
oct40770043554
912375337850
104427106156
111971a93420
12a36766890
13557263a55
142ddd72c44
151ad9e0256
hex107e0476c

4427106156 has 144 divisors (see below), whose sum is σ = 12871692288. Its totient is φ = 1270483200.

The previous prime is 4427106149. The next prime is 4427106161. The reversal of 4427106156 is 6516017244.

4427106156 is a `hidden beast` number, since 4 + 4 + 27 + 10 + 615 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4427106156.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573136 + ... + 580808.

It is an arithmetic number, because the mean of its divisors is an integer number (89386752).

Almost surely, 24427106156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4427106156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435846144).

4427106156 is an abundant number, since it is smaller than the sum of its proper divisors (8444586132).

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

4427106156 is a wasteful number, since it uses less digits than its factorization.

4427106156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4427106156 is about 66536.5024328751. The cubic root of 4427106156 is about 1642.0006018425. Note that the first 3 decimals are identical.

The spelling of 4427106156 in words is "four billion, four hundred twenty-seven million, one hundred six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 47 62 66 93 94 99 124 132 141 186 188 198 279 282 341 372 396 423 517 558 564 682 846 1023 1034 1116 1364 1457 1551 1692 2046 2068 2914 3069 3102 4092 4371 4653 5828 6138 6204 7673 8742 9306 12276 13113 15346 16027 17484 18612 23019 26226 30692 32054 46038 48081 52452 64108 69057 84403 92076 96162 138114 144243 168806 192324 237863 253209 276228 288486 337612 360631 475726 506418 576972 713589 721262 759627 951452 1012836 1081893 1427178 1442524 1519254 2140767 2163786 2616493 2854356 3038508 3245679 3966941 4281534 4327572 5232986 6491358 7849479 7933882 8563068 10465972 11179561 11900823 12982716 15698958 15867764 22359122 23548437 23801646 31397916 33538683 35702469 44718244 47096874 47603292 67077366 71404938 94193748 100616049 122975171 134154732 142809876 201232098 245950342 368925513 402464196 491900684 737851026 1106776539 1475702052 2213553078 4427106156