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2005943229696 = 28372511486571
BaseRepresentation
bin11101001100001011100…
…010001001110100000000
321002202200122002012102110
4131030023202021310000
5230331132431322241
64133303445015320
7264632100060240
oct35141342116400
97082618065373
102005943229696
1170379672726a
122849223b4540
1311720c944233
146d133d21b20
15372a4b4e816
hex1d30b889d00

2005943229696 has 144 divisors (see below), whose sum is σ = 6125723186688. Its totient is φ = 570842880000.

The previous prime is 2005943229691. The next prime is 2005943229737. The reversal of 2005943229696 is 6969223495002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005943229691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606091 + ... + 2092661.

It is an arithmetic number, because the mean of its divisors is an integer number (42539744352).

Almost surely, 22005943229696 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 2005943229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062861593344).

2005943229696 is an abundant number, since it is smaller than the sum of its proper divisors (4119779956992).

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

2005943229696 is a wasteful number, since it uses less digits than its factorization.

2005943229696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486848 (or 1486834 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 2005943229696 in words is "two trillion, five billion, nine hundred forty-three million, two hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 251 256 336 384 448 502 672 753 768 896 1004 1344 1506 1757 1792 2008 2688 3012 3514 4016 5271 5376 6024 7028 8032 10542 12048 14056 16064 21084 24096 28112 32128 42168 48192 56224 64256 84336 96384 112448 168672 192768 224896 337344 449792 674688 1349376 1486571 2973142 4459713 5946284 8919426 10405997 11892568 17838852 20811994 23785136 31217991 35677704 41623988 47570272 62435982 71355408 83247976 95140544 124871964 142710816 166495952 190281088 249743928 285421632 332991904 373129321 380562176 499487856 570843264 665983808 746258642 998975712 1119387963 1141686528 1331967616 1492517284 1997951424 2238775926 2611905247 2663935232 2985034568 3995902848 4477551852 5223810494 5970069136 7835715741 7991805696 8955103704 10447620988 11940138272 15671431482 17910207408 20895241976 23880276544 31342862964 35820414816 41790483952 47760553088 62685725928 71640829632 83580967904 95521106176 125371451856 143281659264 167161935808 250742903712 286563318528 334323871616 501485807424 668647743232 1002971614848 2005943229696