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2134166832 = 243372273109
BaseRepresentation
bin111111100110100…
…1100110100110000
312111201210220112000
41333031030310300
513332321314312
6551434334000
7103613055510
oct17715146460
95451726460
102134166832
119a5755146
124b688a300
132801c1615
14163621840
15c7565adc
hex7f34cd30

2134166832 has 160 divisors (see below), whose sum is σ = 7034073600. Its totient is φ = 606880512.

The previous prime is 2134166831. The next prime is 2134166833. The reversal of 2134166832 is 2386614312.

It is an interprime number because it is at equal distance from previous prime (2134166831) and next prime (2134166833).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2134166831) 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, 684894 + ... + 688002.

It is an arithmetic number, because the mean of its divisors is an integer number (43962960).

Almost surely, 22134166832 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 2134166832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517036800).

2134166832 is an abundant number, since it is smaller than the sum of its proper divisors (4899906768).

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

2134166832 is a wasteful number, since it uses less digits than its factorization.

2134166832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3348 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2134166832 is about 46197.0435417679. The cubic root of 2134166832 is about 1287.4868105853.

The spelling of 2134166832 in words is "two billion, one hundred thirty-four million, one hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 227 252 336 378 432 454 504 681 756 908 1008 1362 1512 1589 1816 2043 2724 3024 3109 3178 3632 4086 4767 5448 6129 6218 6356 8172 9327 9534 10896 12258 12436 12712 14301 16344 18654 19068 21763 24516 24872 25424 27981 28602 32688 37308 38136 42903 43526 49032 49744 55962 57204 65289 74616 76272 83943 85806 87052 98064 111924 114408 130578 149232 167886 171612 174104 195867 223848 228816 261156 335772 343224 348208 391734 447696 522312 587601 671544 686448 705743 783468 1044624 1175202 1343088 1411486 1566936 2117229 2350404 2822972 3133872 4234458 4700808 4940201 5645944 6351687 8468916 9401616 9880402 11291888 12703374 14820603 16937832 19055061 19760804 25406748 29641206 33875664 38110122 39521608 44461809 50813496 59282412 76220244 79043216 88923618 101626992 118564824 133385427 152440488 177847236 237129648 266770854 304880976 355694472 533541708 711388944 1067083416 2134166832