Search a number
-
+
6481860100 = 2252832972
BaseRepresentation
bin1100000100101100…
…10101011000000100
3121201201202121110121
412002112111120010
5101233324010400
62551104431324
7316424621212
oct60226253004
917651677417
106481860100
112826928481
12130a918544
137c3b6c2a1
14456c01cb2
1527e0bb21a
hex182595604

6481860100 has 81 divisors (see below), whose sum is σ = 14385431487. Its totient is φ = 2535098880.

The previous prime is 6481860097. The next prime is 6481860103. The reversal of 6481860100 is 10681846.

The square root of 6481860100 is 80510.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (6481860097) and next prime (6481860103).

It can be written as a sum of positive squares in 4 ways, for example, as 238331844 + 6243528256 = 15438^2 + 79016^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6481860103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66823252 + ... + 66823348.

Almost surely, 26481860100 is an apocalyptic number.

6481860100 is the 80510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6481860100

6481860100 is an abundant number, since it is smaller than the sum of its proper divisors (7903571387).

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

6481860100 is an equidigital number, since it uses as much as digits as its factorization.

6481860100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The cubic root of 6481860100 is about 1864.5178742588.

Multiplying 6481860100 by its product of nonzero digits (9216), we get a square (59736822681600 = 77289602).

The spelling of 6481860100 in words is "six billion, four hundred eighty-one million, eight hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 97 100 166 194 332 388 415 485 830 970 1660 1940 2075 2425 4150 4850 6889 8051 8300 9409 9700 13778 16102 18818 27556 32204 34445 37636 40255 47045 68890 80510 94090 137780 161020 172225 188180 201275 235225 344450 402550 470450 668233 688900 780947 805100 940900 1336466 1561894 2672932 3123788 3341165 3904735 6682330 7809470 13364660 15618940 16705825 19523675 33411650 39047350 64818601 66823300 78094700 129637202 259274404 324093005 648186010 1296372020 1620465025 3240930050 6481860100