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4261478496 = 253119741603
BaseRepresentation
bin1111111000000001…
…0000000001100000
3101222222201112111220
43332000100001200
532211414302441
61542510135040
7210413653362
oct37600200140
911888645456
104261478496
111897547960
129ab1b1480
1352bb52912
142c5d7ad32
1519e1c5466
hexfe010060

4261478496 has 96 divisors (see below), whose sum is σ = 12329428608. Its totient is φ = 1278013440.

The previous prime is 4261478489. The next prime is 4261478513. The reversal of 4261478496 is 6948741624.

It is a happy number.

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

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, 81631 + ... + 123233.

It is an arithmetic number, because the mean of its divisors is an integer number (128431548).

Almost surely, 24261478496 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 4261478496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164714304).

4261478496 is an abundant number, since it is smaller than the sum of its proper divisors (8067950112).

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

4261478496 is a wasteful number, since it uses less digits than its factorization.

4261478496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41724 (or 41716 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 4261478496 is about 65280.0007352941. Note that the first 3 decimals coincide. The cubic root of 4261478496 is about 1621.2628592177.

The spelling of 4261478496 in words is "four billion, two hundred sixty-one million, four hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 132 176 194 264 291 352 388 528 582 776 1056 1067 1164 1552 2134 2328 3104 3201 4268 4656 6402 8536 9312 12804 17072 25608 34144 41603 51216 83206 102432 124809 166412 249618 332824 457633 499236 665648 915266 998472 1331296 1372899 1830532 1996944 2745798 3661064 3993888 4035491 5491596 7322128 8070982 10983192 12106473 14644256 16141964 21966384 24212946 32283928 43932768 44390401 48425892 64567856 88780802 96851784 129135712 133171203 177561604 193703568 266342406 355123208 387407136 532684812 710246416 1065369624 1420492832 2130739248 4261478496