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2191408848 = 2432312811747
BaseRepresentation
bin1000001010011110…
…0011111011010000
312122201112002210200
42002213203323100
513442000040343
61001241255200
7105206445036
oct20247437320
95581462720
102191408848
11a24aa19a2
12511a94500
1328c014135
1416b082556
15cc5c14d3
hex829e3ed0

2191408848 has 120 divisors (see below), whose sum is σ = 6356902656. Its totient is φ = 703987200.

The previous prime is 2191408837. The next prime is 2191408853. The reversal of 2191408848 is 8488041912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253511 + ... + 1255257.

Almost surely, 22191408848 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 2191408848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178451328).

2191408848 is an abundant number, since it is smaller than the sum of its proper divisors (4165493808).

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

2191408848 is a wasteful number, since it uses less digits than its factorization.

2191408848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 2191408848 is about 46812.4860267002. The cubic root of 2191408848 is about 1298.8962718546.

The spelling of 2191408848 in words is "two billion, one hundred ninety-one million, four hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 281 372 496 558 562 744 843 1116 1124 1488 1686 1747 2232 2248 2529 3372 3494 4464 4496 5058 5241 6744 6988 8711 10116 10482 13488 13976 15723 17422 20232 20964 26133 27952 31446 34844 40464 41928 52266 54157 62892 69688 78399 83856 104532 108314 125784 139376 156798 162471 209064 216628 251568 313596 324942 418128 433256 487413 490907 627192 649884 866512 974826 981814 1254384 1299768 1472721 1949652 1963628 2599536 2945442 3899304 3927256 4418163 5890884 7798608 7854512 8836326 11781768 15218117 17672652 23563536 30436234 35345304 45654351 60872468 70690608 91308702 121744936 136963053 182617404 243489872 273926106 365234808 547852212 730469616 1095704424 2191408848