Search a number
-
+
19463040100 = 22527219932
BaseRepresentation
bin10010001000000101…
…100110110001100100
31212020102010212202001
4102020011212301210
5304330014240400
612535144255044
71256212053100
oct221005466144
955212125661
1019463040100
118288419109
123932171484
131ab238199a
14d28c6c900
1578da51a6a
hex488166c64

19463040100 has 81 divisors (see below), whose sum is σ = 49154937867. Its totient is φ = 6669694080.

The previous prime is 19463040073. The next prime is 19463040119. The reversal of 19463040100 is 104036491.

The square root of 19463040100 is 139510.

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

It can be written as a sum of positive squares in 4 ways, for example, as 190937124 + 19272102976 = 13818^2 + 138824^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9764704 + ... + 9766696.

Almost surely, 219463040100 is an apocalyptic number.

19463040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19463040100 is the 139510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19463040100

19463040100 is an abundant number, since it is smaller than the sum of its proper divisors (29691897767).

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

19463040100 is an equidigital number, since it uses as much as digits as its factorization.

19463040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 19463040100 its reverse (104036491), we get a palindrome (19567076591).

The spelling of 19463040100 in words is "nineteen billion, four hundred sixty-three million, forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1993 2450 3986 4900 7972 9965 13951 19930 27902 39860 49825 55804 69755 97657 99650 139510 195314 199300 279020 348775 390628 488285 697550 976570 1395100 1953140 2441425 3972049 4882850 7944098 9765700 15888196 19860245 27804343 39720490 55608686 79440980 99301225 111217372 139021715 194630401 198602450 278043430 389260802 397204900 556086860 695108575 778521604 973152005 1390217150 1946304010 2780434300 3892608020 4865760025 9731520050 19463040100