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5204469984 = 253713756531
BaseRepresentation
bin1001101100011010…
…11110100011100000
3111102201010110122120
410312031132203200
541124321014414
62220233504240
7242654156610
oct46615364340
914381113576
105204469984
11223087336a
121012b72080
1364c31c64c
143752c8a40
15206d952a9
hex13635e8e0

5204469984 has 96 divisors (see below), whose sum is σ = 15727654656. Its totient is φ = 1476111360.

The previous prime is 5204469983. The next prime is 5204470003. The reversal of 5204469984 is 4899644025.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5204469983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63799 + ... + 120329.

It is an arithmetic number, because the mean of its divisors is an integer number (163829736).

Almost surely, 25204469984 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 5204469984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863827328).

5204469984 is an abundant number, since it is smaller than the sum of its proper divisors (10523184672).

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

5204469984 is a wasteful number, since it uses less digits than its factorization.

5204469984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56688 (or 56680 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 5204469984 is about 72142.0126140102. The cubic root of 5204469984 is about 1732.9744883711.

The spelling of 5204469984 in words is "five billion, two hundred four million, four hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 11508 13152 15344 23016 30688 46032 56531 92064 113062 169593 226124 339186 395717 452248 678372 791434 904496 1187151 1356744 1582868 1808992 2374302 2713488 3165736 4748604 5426976 6331472 7744747 9497208 12662944 15489494 18994416 23234241 30978988 37988832 46468482 54213229 61957976 92936964 108426458 123915952 162639687 185873928 216852916 247831904 325279374 371747856 433705832 650558748 743495712 867411664 1301117496 1734823328 2602234992 5204469984