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5719868448 = 253738921881
BaseRepresentation
bin1010101001110111…
…00100010000100000
3112202121221102102120
411110323210100200
543203241242243
62343324344240
7261513036210
oct52473442040
915677842376
105719868448
112475797908
1211376a5080
13702036558
143c392c240
15237250c83
hex154ee4420

5719868448 has 96 divisors (see below), whose sum is σ = 17204503680. Its totient is φ = 1629972480.

The previous prime is 5719868419. The next prime is 5719868477. The reversal of 5719868448 is 8448689175.

It is an interprime number because it is at equal distance from previous prime (5719868419) and next prime (5719868477).

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 (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5719868391 and 5719868400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250468 + ... + 272348.

It is an arithmetic number, because the mean of its divisors is an integer number (179213580).

Almost surely, 25719868448 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 5719868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602251840).

5719868448 is an abundant number, since it is smaller than the sum of its proper divisors (11484635232).

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

5719868448 is a wasteful number, since it uses less digits than its factorization.

5719868448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22290 (or 22282 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 60.

The square root of 5719868448 is about 75629.8118998058. The cubic root of 5719868448 is about 1788.3890969887.

The spelling of 5719868448 in words is "five billion, seven hundred nineteen million, eight hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 389 672 778 1167 1556 2334 2723 3112 4668 5446 6224 8169 9336 10892 12448 16338 18672 21784 21881 32676 37344 43568 43762 65352 65643 87136 87524 130704 131286 153167 175048 261408 262572 306334 350096 459501 525144 612668 700192 919002 1050288 1225336 1838004 2100576 2450672 3676008 4901344 7352016 8511709 14704032 17023418 25535127 34046836 51070254 59581963 68093672 102140508 119163926 136187344 178745889 204281016 238327852 272374688 357491778 408562032 476655704 714983556 817124064 953311408 1429967112 1906622816 2859934224 5719868448