Search a number
-
+
248533463424 = 273647222561
BaseRepresentation
bin1110011101110110111…
…1111011000110000000
3212202111201120002010210
43213131233323012000
513032444031312144
6310101422354120
723645614403631
oct3473557730600
9782451502123
10248533463424
119644772a654
124020142b940
131a58a2b517c
14c059b3d888
1566e91ceab9
hex39ddbfb180

248533463424 has 32 divisors (see below), whose sum is σ = 660167013240. Its totient is φ = 82844487680.

The previous prime is 248533463413. The next prime is 248533463429. The reversal of 248533463424 is 424364335842.

248533463424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248533463429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323610897 + ... + 323611664.

Almost surely, 2248533463424 is an apocalyptic number.

248533463424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248533463424 is an abundant number, since it is smaller than the sum of its proper divisors (411633549816).

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

248533463424 is an equidigital number, since it uses as much as digits as its factorization.

248533463424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647222578 (or 647222566 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 48.

The spelling of 248533463424 in words is "two hundred forty-eight billion, five hundred thirty-three million, four hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 647222561 1294445122 1941667683 2588890244 3883335366 5177780488 7766670732 10355560976 15533341464 20711121952 31066682928 41422243904 62133365856 82844487808 124266731712 248533463424