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2083914491346 = 233101479797681
BaseRepresentation
bin11110010100110010111…
…110111010010111010010
321101012221120202200121000
4132110302332322113102
5233120324102210341
64233200451442430
7303362225624622
oct36246276722722
97335846680530
102083914491346
11733868448186
12297a628b6416
1312168767c04c
1472c0d480882
1539319e808b6
hex1e532fba5d2

2083914491346 has 64 divisors (see below), whose sum is σ = 4686541286400. Its totient is φ = 686323872000.

The previous prime is 2083914491293. The next prime is 2083914491369. The reversal of 2083914491346 is 6431944193802.

2083914491346 is a `hidden beast` number, since 2 + 0 + 83 + 91 + 449 + 1 + 34 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2083914491292 and 2083914491301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2213626 + ... + 3011306.

It is an arithmetic number, because the mean of its divisors is an integer number (73227207600).

Almost surely, 22083914491346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083914491346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343270643200).

2083914491346 is an abundant number, since it is smaller than the sum of its proper divisors (2602626795054).

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

2083914491346 is a wasteful number, since it uses less digits than its factorization.

2083914491346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798272 (or 798266 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2083914491346 in words is "two trillion, eighty-three billion, nine hundred fourteen million, four hundred ninety-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 479 606 909 958 1437 1818 2727 2874 4311 5454 8622 12933 25866 48379 96758 145137 290274 435411 797681 870822 1306233 1595362 2393043 2612466 4786086 7179129 14358258 21537387 43074774 80565781 161131562 241697343 382089199 483394686 725092029 764178398 1146267597 1450184058 2175276087 2292535194 3438802791 4350552174 6877605582 10316408373 20632816746 38591009099 77182018198 115773027297 231546054594 347319081891 694638163782 1041957245673 2083914491346