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5378463792 = 2432133192681
BaseRepresentation
bin1010000001001010…
…01101100000110000
3111212211112021021200
411000211031200300
542003341320132
62245411051200
7250166121312
oct50045154060
914784467250
105378463792
1123100034a9
1210612a0b00
1367939c770
1439045b7b2
152172b3d7c
hex14094d830

5378463792 has 120 divisors (see below), whose sum is σ = 16733179008. Its totient is φ = 1601510400.

The previous prime is 5378463749. The next prime is 5378463803. The reversal of 5378463792 is 2973648735.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11692 + ... + 104372.

Almost surely, 25378463792 is an apocalyptic number.

5378463792 is a gapful number since it is divisible by the number (52) 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 5378463792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8366589504).

5378463792 is an abundant number, since it is smaller than the sum of its proper divisors (11354715216).

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

5378463792 is a wasteful number, since it uses less digits than its factorization.

5378463792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92739 (or 92730 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 5378463792 is about 73338.0105538731. The cubic root of 5378463792 is about 1752.0752297714.

The spelling of 5378463792 in words is "five billion, three hundred seventy-eight million, four hundred sixty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 29016 58032 92681 185362 278043 370724 556086 741448 834129 1112172 1204853 1482896 1668258 2224344 2409706 2873111 3336516 3614559 4448688 4819412 5746222 6673032 7229118 8619333 9638824 10843677 11492444 13346064 14458236 17238666 19277648 21687354 22984888 25857999 28916472 34477332 37350443 43374708 45969776 51715998 57832944 68954664 74700886 86749416 103431996 112051329 137909328 149401772 173498832 206863992 224102658 298803544 336153987 413727984 448205316 597607088 672307974 896410632 1344615948 1792821264 2689231896 5378463792