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5060619744 = 253598910039
BaseRepresentation
bin1001011011010001…
…01110110111100000
3111001200110010012220
410231220232313200
540331004312434
62154054351040
7236256362265
oct45550566740
914050403186
105060619744
112167651574
12b9295b480
1362859496b
1436016126c
151e942cd49
hex12da2ede0

5060619744 has 96 divisors (see below), whose sum is σ = 13662432000. Its totient is φ = 1639486464.

The previous prime is 5060619743. The next prime is 5060619749. The reversal of 5060619744 is 4479160605.

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

It is a junction number, because it is equal to n+sod(n) for n = 5060619696 and 5060619705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5060619743) by changing a digit.

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, 499077 + ... + 509115.

It is an arithmetic number, because the mean of its divisors is an integer number (142317000).

Almost surely, 25060619744 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 5060619744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831216000).

5060619744 is an abundant number, since it is smaller than the sum of its proper divisors (8601812256).

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

5060619744 is a wasteful number, since it uses less digits than its factorization.

5060619744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5060619744 is about 71138.0330343762. The cubic root of 5060619744 is about 1716.8587591539.

The spelling of 5060619744 in words is "five billion, sixty million, six hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 89 96 118 177 178 236 267 354 356 472 534 708 712 944 1068 1416 1424 1888 2136 2832 2848 4272 5251 5664 8544 10039 10502 15753 20078 21004 30117 31506 40156 42008 60234 63012 80312 84016 120468 126024 160624 168032 240936 252048 321248 481872 504096 592301 893471 963744 1184602 1776903 1786942 2369204 2680413 3553806 3573884 4738408 5360826 7107612 7147768 9476816 10721652 14215224 14295536 18953632 21443304 28430448 28591072 42886608 52714789 56860896 85773216 105429578 158144367 210859156 316288734 421718312 632577468 843436624 1265154936 1686873248 2530309872 5060619744