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2083669984 = 251153671667
BaseRepresentation
bin111110000110010…
…0100011111100000
312101012210101212101
41330030210133200
513231404414414
6542432140144
7102430621414
oct17414443740
95335711771
102083669984
1197a1a5110
124a1997654
132728c1026
1415aa38d44
15c2ddda74
hex7c3247e0

2083669984 has 96 divisors (see below), whose sum is σ = 4630421376. Its totient is φ = 914833920.

The previous prime is 2083669969. The next prime is 2083669999. The reversal of 2083669984 is 4899663802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2083669969) and next prime (2083669999).

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, 1249119 + ... + 1250785.

It is an arithmetic number, because the mean of its divisors is an integer number (48233556).

Almost surely, 22083669984 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 2083669984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315210688).

2083669984 is an abundant number, since it is smaller than the sum of its proper divisors (2546751392).

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

2083669984 is a wasteful number, since it uses less digits than its factorization.

2083669984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The square root of 2083669984 is about 45647.2341330775. The cubic root of 2083669984 is about 1277.2511779057.

The spelling of 2083669984 in words is "two billion, eighty-three million, six hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 67 88 106 134 176 212 268 352 424 536 583 737 848 1072 1166 1474 1667 1696 2144 2332 2948 3334 3551 4664 5896 6668 7102 9328 11792 13336 14204 18337 18656 23584 26672 28408 36674 39061 53344 56816 73348 78122 88351 111689 113632 146696 156244 176702 223378 293392 312488 353404 446756 586784 624976 706808 893512 971861 1228579 1249952 1413616 1787024 1943722 2457158 2827232 3574048 3887444 4914316 5919517 7774888 9828632 11839034 15549776 19657264 23678068 31099552 39314528 47356136 65114687 94712272 130229374 189424544 260458748 520917496 1041834992 2083669984