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2328036280416 = 2532711104979991
BaseRepresentation
bin100001111000001001110…
…001101000100001100000
322020120001211222111020100
4201320021301220201200
5301120304241433131
64541252440542400
7330123623611320
oct41701161504140
98216054874210
102328036280416
11818350874570
12317232781a00
1313b6c0974502
148096b307280
1540856bbc7e6
hex21e09c68860

2328036280416 has 144 divisors (see below), whose sum is σ = 8253946891008. Its totient is φ = 604684742400.

The previous prime is 2328036280403. The next prime is 2328036280429. The reversal of 2328036280416 is 6140826308232.

2328036280416 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 0 + 3 + 628 + 0 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2328036280403) and next prime (2328036280429).

It is a tau number, because it is divible by the number of its divisors (144).

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, 52467820 + ... + 52512171.

It is an arithmetic number, because the mean of its divisors is an integer number (57319075632).

Almost surely, 22328036280416 is an apocalyptic number.

It is an amenable number.

2328036280416 is an abundant number, since it is smaller than the sum of its proper divisors (5925910610592).

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

2328036280416 is a wasteful number, since it uses less digits than its factorization.

2328036280416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104980025 (or 104980014 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2328036280416 in words is "two trillion, three hundred twenty-eight billion, thirty-six million, two hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 104979991 209959982 314939973 419919964 629879946 734859937 839839928 944819919 1154779901 1259759892 1469719874 1679679856 1889639838 2204579811 2309559802 2519519784 2939439748 3359359712 3464339703 3779279676 4409159622 4619119604 5039039568 5878879496 6613739433 6928679406 7558559352 8083459307 8818319244 9238239208 10078079136 10393019109 11757758992 13227478866 13857358812 15117118704 16166918614 17636638488 18476478416 20786038218 23515517984 24250377921 26454957732 27714717624 30234237408 32333837228 35273276976 36952956832 41572076436 48500755842 52909915464 55429435248 64667674456 70546553952 72751133763 83144152872 97001511684 105819830928 110858870496 129335348912 145502267526 166288305744 194003023368 211639661856 258670697824 291004535052 332576611488 388006046736 582009070104 776012093472 1164018140208 2328036280416