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2129180872 = 2371353139397
BaseRepresentation
bin111111011101000…
…1011100011001000
312111101102121001211
41332322023203020
513330032241442
6551135422504
7103522511260
oct17672134310
95441377054
102129180872
119a295a115
124b5084a34
1327c167050
14162ac47a0
15c6dcd617
hex7ee8b8c8

2129180872 has 128 divisors (see below), whose sum is σ = 5054918400. Its totient is φ = 818408448.

The previous prime is 2129180813. The next prime is 2129180891. The reversal of 2129180872 is 2780819212.

It is a super-2 number, since 2×21291808722 = 9066822371381360768, which contains 22 as substring.

It is an unprimeable number.

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, 5362978 + ... + 5363374.

It is an arithmetic number, because the mean of its divisors is an integer number (39491550).

Almost surely, 22129180872 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 2129180872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527459200).

2129180872 is an abundant number, since it is smaller than the sum of its proper divisors (2925737528).

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

2129180872 is a wasteful number, since it uses less digits than its factorization.

2129180872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 2129180872 is about 46143.0479270713. The cubic root of 2129180872 is about 1286.4833958526.

The spelling of 2129180872 in words is "two billion, one hundred twenty-nine million, one hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 139 182 212 278 364 371 397 424 556 689 728 742 794 973 1112 1378 1484 1588 1807 1946 2756 2779 2968 3176 3614 3892 4823 5161 5512 5558 7228 7367 7784 9646 10322 11116 12649 14456 14734 19292 20644 21041 22232 25298 29468 36127 38584 41288 42082 50596 51569 55183 58936 72254 84164 95771 101192 103138 110366 144508 147287 168328 191542 206276 220732 273533 289016 294574 383084 386281 412552 441464 547066 589148 670397 717379 766168 772562 1094132 1178296 1340794 1434758 1545124 1914731 2188264 2681588 2869516 2924699 3090248 3829462 5021653 5363176 5739032 5849398 7658924 10043306 11698796 15317848 20086612 20472893 23397592 38021087 40173224 40945786 76042174 81891572 152084348 163783144 266147609 304168696 532295218 1064590436 2129180872