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2132419408 = 247127197761
BaseRepresentation
bin111111100011010…
…0010001101010000
312111121112010111121
41333012202031100
513331344410113
6551333052024
7103562160130
oct17706421520
95447463447
102132419408
119a4771299
124b6187014
1327ca2c142
141632c8ac0
15c731ce8d
hex7f1a2350

2132419408 has 80 divisors (see below), whose sum is σ = 4789407744. Its totient is φ = 900910080.

The previous prime is 2132419397. The next prime is 2132419417. The reversal of 2132419408 is 8049142312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2801748 + ... + 2802508.

Almost surely, 22132419408 is an apocalyptic number.

2132419408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132419408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394703872).

2132419408 is an abundant number, since it is smaller than the sum of its proper divisors (2656988336).

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

2132419408 is a wasteful number, since it uses less digits than its factorization.

2132419408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2132419408 is about 46178.1269433917. The cubic root of 2132419408 is about 1287.1353229652.

The spelling of 2132419408 in words is "two billion, one hundred thirty-two million, four hundred nineteen thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 197 254 394 508 761 788 889 1016 1379 1522 1576 1778 2032 2758 3044 3152 3556 5327 5516 6088 7112 10654 11032 12176 14224 21308 22064 25019 42616 50038 85232 96647 100076 149917 175133 193294 200152 299834 350266 386588 400304 599668 676529 700532 773176 1049419 1199336 1353058 1401064 1546352 2098838 2398672 2706116 2802128 4197676 5412232 8395352 10824464 16790704 19039459 38078918 76157836 133276213 152315672 266552426 304631344 533104852 1066209704 2132419408