Search a number
-
+
5494312416 = 253175363521
BaseRepresentation
bin1010001110111110…
…01000110111100000
3112011220111222201110
411013133020313200
542223020444131
62305110103320
7253103612355
oct50737106740
915156458643
105494312416
11236a43a26a
12109404ab40
136973a1c48
143a19b662c
15222549646
hex1477c8de0

5494312416 has 96 divisors (see below), whose sum is σ = 15559332768. Its totient is φ = 1691156480.

The previous prime is 5494312409. The next prime is 5494312459. The reversal of 5494312416 is 6142134945.

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

It is a super-2 number, since 2×54943124162 = 60374937849223514112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54736 + ... + 118256.

It is an arithmetic number, because the mean of its divisors is an integer number (162076383).

Almost surely, 25494312416 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 5494312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779666384).

5494312416 is an abundant number, since it is smaller than the sum of its proper divisors (10065020352).

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

5494312416 is a wasteful number, since it uses less digits than its factorization.

5494312416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63604 (or 63596 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 5494312416 is about 74123.6292689450. The cubic root of 5494312416 is about 1764.5654986324.

The spelling of 5494312416 in words is "five billion, four hundred ninety-four million, three hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1272 1632 1696 1802 2544 2703 3604 5088 5406 7208 10812 14416 21624 28832 43248 63521 86496 127042 190563 254084 381126 508168 762252 1016336 1079857 1524504 2032672 2159714 3049008 3239571 3366613 4319428 6098016 6479142 6733226 8638856 10099839 12958284 13466452 17277712 20199678 25916568 26932904 34555424 40399356 51833136 53865808 57232421 80798712 103666272 107731616 114464842 161597424 171697263 228929684 323194848 343394526 457859368 686789052 915718736 1373578104 1831437472 2747156208 5494312416