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2132134176 = 253371095507
BaseRepresentation
bin111111100010101…
…1100100100100000
312111120222122020110
41333011130210200
513331311243201
6551323011320
7103556561424
oct17705344440
95446878213
102132134176
119a4596a67
124b6069b40
1327c95c373
14163252b84
15c72b36d6
hex7f15c920

2132134176 has 96 divisors (see below), whose sum is σ = 5801906880. Its totient is φ = 685034496.

The previous prime is 2132134171. The next prime is 2132134181. The reversal of 2132134176 is 6714312312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2132134171) and next prime (2132134181).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21321341762 = 9091992288934397952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2132134171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384415 + ... + 389921.

It is an arithmetic number, because the mean of its divisors is an integer number (60436530).

Almost surely, 22132134176 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 2132134176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900953440).

2132134176 is an abundant number, since it is smaller than the sum of its proper divisors (3669772704).

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

2132134176 is a wasteful number, since it uses less digits than its factorization.

2132134176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5658 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2132134176 is about 46175.0384515270. The cubic root of 2132134176 is about 1287.0779314172.

Adding to 2132134176 its reverse (6714312312), we get a palindrome (8846446488).

The spelling of 2132134176 in words is "two billion, one hundred thirty-two million, one hundred thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 109 111 148 218 222 296 327 436 444 592 654 872 888 1184 1308 1744 1776 2616 3488 3552 4033 5232 5507 8066 10464 11014 12099 16132 16521 22028 24198 32264 33042 44056 48396 64528 66084 88112 96792 129056 132168 176224 193584 203759 264336 387168 407518 528672 600263 611277 815036 1200526 1222554 1630072 1800789 2401052 2445108 3260144 3601578 4802104 4890216 6520288 7203156 9604208 9780432 14406312 19208416 19560864 22209731 28812624 44419462 57625248 66629193 88838924 133258386 177677848 266516772 355355696 533033544 710711392 1066067088 2132134176