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2071345824 = 253317141023
BaseRepresentation
bin111101101110110…
…0011101010100000
312100100121021022000
41323131203222200
513220231031244
6541312044000
7102221102052
oct17335435240
95310537260
102071345824
11973247859
12499833600
13270197622
1415914b8d2
15c1ca7169
hex7b763aa0

2071345824 has 96 divisors (see below), whose sum is σ = 6396848640. Its totient is φ = 649829376.

The previous prime is 2071345823. The next prime is 2071345849. The reversal of 2071345824 is 4285431702.

It is a happy number.

2071345824 is a `hidden beast` number, since 2 + 0 + 71 + 3 + 4 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (2071345823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55824 + ... + 85199.

It is an arithmetic number, because the mean of its divisors is an integer number (66633840).

Almost surely, 22071345824 is an apocalyptic number.

2071345824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2071345824 is an abundant number, since it is smaller than the sum of its proper divisors (4325502816).

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

2071345824 is a wasteful number, since it uses less digits than its factorization.

2071345824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141059 (or 141045 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2071345824 is about 45512.0404288799. The cubic root of 2071345824 is about 1274.7280361105.

The spelling of 2071345824 in words is "two billion, seventy-one million, three hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 141023 282046 423069 564092 846138 1128184 1269207 1692276 2256368 2397391 2538414 3384552 3807621 4512736 4794782 5076828 6769104 7192173 7615242 9589564 10153656 13538208 14384346 15230484 19179128 20307312 21576519 28768692 30460968 38358256 40614624 43153038 57537384 60921936 64729557 76716512 86306076 115074768 121843872 129459114 172612152 230149536 258918228 345224304 517836456 690448608 1035672912 2071345824