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2035145196 = 223376144131
BaseRepresentation
bin111100101001101…
…1101100111101100
312020211111002101000
41321103131213230
513131444121241
6533540120300
7101301306630
oct17123354754
95224432330
102035145196
11954871787
12489696090
13265831236
14154406dc0
15bda05eb6
hex794dd9ec

2035145196 has 96 divisors (see below), whose sum is σ = 6129052160. Its totient is φ = 571924800.

The previous prime is 2035145183. The next prime is 2035145197. The reversal of 2035145196 is 6915415302.

2035145196 is a `hidden beast` number, since 2 + 0 + 3 + 514 + 51 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2035145196.

It is not an unprimeable number, because it can be changed into a prime (2035145197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24051 + ... + 68181.

Almost surely, 22035145196 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 2035145196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064526080).

2035145196 is an abundant number, since it is smaller than the sum of its proper divisors (4093906964).

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

2035145196 is a wasteful number, since it uses less digits than its factorization.

2035145196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44212 (or 44204 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2035145196 is about 45112.5835660074. The cubic root of 2035145196 is about 1267.2582669848.

The spelling of 2035145196 in words is "two billion, thirty-five million, one hundred forty-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 183 189 244 252 366 378 427 549 732 756 854 1098 1281 1647 1708 2196 2562 3294 3843 5124 6588 7686 11529 15372 23058 44131 46116 88262 132393 176524 264786 308917 397179 529572 617834 794358 926751 1191537 1235668 1588716 1853502 2383074 2691991 2780253 3707004 4766148 5383982 5560506 8075973 8340759 10767964 11121012 16151946 16681518 18843937 24227919 32303892 33363036 37687874 48455838 56531811 72683757 75375748 96911676 113063622 145367514 169595433 226127244 290735028 339190866 508786299 678381732 1017572598 2035145196