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5319696384 = 213348017
BaseRepresentation
bin1001111010001010…
…00010000000000000
3111201201221120120000
410331011002000000
541343320241014
62235511320000
7245553446622
oct47505020000
914651846500
105319696384
11228a9146a2
121045680000
1366a164852
14386720c12
15212056509
hex13d142000

5319696384 has 140 divisors (see below), whose sum is σ = 15894426174. Its totient is φ = 1773010944.

The previous prime is 5319696359. The next prime is 5319696401. The reversal of 5319696384 is 4836969135.

It can be written as a sum of positive squares in only one way, i.e., 4387737600 + 931958784 = 66240^2 + 30528^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5319696384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 659544 + ... + 667560.

Almost surely, 25319696384 is an apocalyptic number.

5319696384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5319696384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947213087).

5319696384 is an abundant number, since it is smaller than the sum of its proper divisors (10574729790).

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

5319696384 is an frugal number, since it uses more digits than its factorization.

5319696384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055 (or 8022 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 5319696384 is about 72936.2487656172. The cubic root of 5319696384 is about 1745.6705369074.

The spelling of 5319696384 in words is "five billion, three hundred nineteen million, six hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8017 8192 9216 10368 12288 13824 16034 18432 20736 24051 24576 27648 32068 36864 41472 48102 55296 64136 72153 73728 82944 96204 110592 128272 144306 165888 192408 216459 221184 256544 288612 331776 384816 432918 513088 577224 649377 663552 769632 865836 1026176 1154448 1298754 1539264 1731672 2052352 2308896 2597508 3078528 3463344 4104704 4617792 5195016 6157056 6926688 8209408 9235584 10390032 12314112 13853376 16418816 18471168 20780064 24628224 27706752 32837632 36942336 41560128 49256448 55413504 65675264 73884672 83120256 98512896 110827008 147769344 166240512 197025792 221654016 295538688 332481024 443308032 591077376 664962048 886616064 1329924096 1773232128 2659848192 5319696384