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48337100449 = 114232792
BaseRepresentation
bin101101000001000111…
…011001111010100001
311121202200210010021121
4231001013121322201
51242443244203244
634112235452241
73330560401051
oct550107317241
9147680703247
1048337100449
1119555040000
12944bbb7081
1347343b32b1
1424a7945561
1513cd8bdc84
hexb411d9ea1

48337100449 has 45 divisors (see below), whose sum is σ = 56295236865. Its totient is φ = 41500207320.

The previous prime is 48337100447. The next prime is 48337100473. The reversal of 48337100449 is 94400173384.

The square root of 48337100449 is 219857.

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

It is not a de Polignac number, because 48337100449 - 21 = 48337100447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48337100447) 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 44 ways as a sum of consecutive naturals, for example, 611861992 + ... + 611862070.

Almost surely, 248337100449 is an apocalyptic number.

48337100449 is the 219857-th square number.

48337100449 is the 109929-th centered octagonal number.

It is an amenable number.

48337100449 is a deficient number, since it is larger than the sum of its proper divisors (7958136416).

48337100449 is an frugal number, since it uses more digits than its factorization.

48337100449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 48337100449 in words is "forty-eight billion, three hundred thirty-seven million, one hundred thousand, four hundred forty-nine".

Divisors: 1 11 23 79 121 253 529 869 1331 1817 2783 5819 6241 9559 14641 19987 30613 41791 64009 68651 105149 143543 219857 336743 459701 704099 755161 1156639 1578973 2418427 3301489 5056711 7745089 8306771 17368703 26602697 36316379 55623821 91374481 191055733 399480169 611862031 2101613063 4394281859 48337100449