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2119412096 = 27233719457
BaseRepresentation
bin111111001010011…
…1010100110000000
312110201001021211022
41332110322212000
513320032141341
6550150205012
7103343464004
oct17624724600
95421037738
102119412096
1199839774a
124b1953768
1327a1267c9
141616a0704
15c60ede4b
hex7e53a980

2119412096 has 64 divisors (see below), whose sum is σ = 4525152480. Its totient is φ = 986185728.

The previous prime is 2119412069. The next prime is 2119412107. The reversal of 2119412096 is 6902149112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21194120962 = 8983815265342226432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99200 + ... + 118656.

Almost surely, 22119412096 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 2119412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262576240).

2119412096 is an abundant number, since it is smaller than the sum of its proper divisors (2405740384).

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

2119412096 is a wasteful number, since it uses less digits than its factorization.

2119412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19531 (or 19519 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 2119412096 is about 46037.0730607409. The cubic root of 2119412096 is about 1284.5128982921.

The spelling of 2119412096 in words is "two billion, one hundred nineteen million, four hundred twelve thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 128 148 184 296 368 592 736 851 1184 1472 1702 2368 2944 3404 4736 6808 13616 19457 27232 38914 54464 77828 108928 155656 311312 447511 622624 719909 895022 1245248 1439818 1790044 2490496 2879636 3580088 5759272 7160176 11518544 14320352 16557907 23037088 28640704 33115814 46074176 57281408 66231628 92148352 132463256 264926512 529853024 1059706048 2119412096