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4102010496 = 27329736709
BaseRepresentation
bin1111010001111111…
…1011011010000000
3101120212122201112200
43310133323122000
531400103313441
61515012153200
7203436341163
oct36437733200
911525581480
104102010496
111815529221
12965908800
13504aba35c
142acb09ada
151901c57b6
hexf47fb680

4102010496 has 96 divisors (see below), whose sum is σ = 11925977700. Its totient is φ = 1353203712.

The previous prime is 4102010477. The next prime is 4102010503. The reversal of 4102010496 is 6940102014.

4102010496 is a `hidden beast` number, since 410 + 201 + 0 + 49 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4090881600 + 11128896 = 63960^2 + 3336^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93390 + ... + 130098.

Almost surely, 24102010496 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 4102010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962988850).

4102010496 is an abundant number, since it is smaller than the sum of its proper divisors (7823967204).

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

4102010496 is a wasteful number, since it uses less digits than its factorization.

4102010496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36826 (or 36811 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4102010496 is about 64046.9397863786. The cubic root of 4102010496 is about 1600.7822341729.

The spelling of 4102010496 in words is "four billion, one hundred two million, ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 288 291 384 388 576 582 776 873 1152 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 12416 13968 18624 27936 36709 37248 55872 73418 110127 111744 146836 220254 293672 330381 440508 587344 660762 881016 1174688 1321524 1762032 2349376 2643048 3524064 3560773 4698752 5286096 7048128 7121546 10572192 10682319 14096256 14243092 21144384 21364638 28486184 32046957 42288768 42729276 56972368 64093914 85458552 113944736 128187828 170917104 227889472 256375656 341834208 455778944 512751312 683668416 1025502624 1367336832 2051005248 4102010496