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5334670768 = 24737113691
BaseRepresentation
bin1001111011111100…
…01001110110110000
3111202210010100112211
410331332021312300
541411133431033
62241204301504
7246124645000
oct47576116660
914683110484
105334670768
112298312119
12104a6a1894
136702a862b
143886dc000
152135132cd
hex13df89db0

5334670768 has 80 divisors (see below), whose sum is σ = 12224217600. Its totient is φ = 2253921600.

The previous prime is 5334670763. The next prime is 5334670787. The reversal of 5334670768 is 8670764335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (5334670763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382803 + ... + 396493.

It is an arithmetic number, because the mean of its divisors is an integer number (152802720).

Almost surely, 25334670768 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 5334670768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112108800).

5334670768 is an abundant number, since it is smaller than the sum of its proper divisors (6889546832).

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

5334670768 is a wasteful number, since it uses less digits than its factorization.

5334670768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13791 (or 13771 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The square root of 5334670768 is about 73038.8305492359. The cubic root of 5334670768 is about 1747.3069618662.

The spelling of 5334670768 in words is "five billion, three hundred thirty-four million, six hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 343 392 497 568 686 784 994 1136 1372 1988 2744 3479 3976 5488 6958 7952 13691 13916 24353 27382 27832 48706 54764 55664 95837 97412 109528 191674 194824 219056 383348 389648 670859 766696 972061 1341718 1533392 1944122 2683436 3888244 4696013 5366872 6804427 7776488 9392026 10733744 13608854 15552976 18784052 27217708 37568104 47630989 54435416 75136208 95261978 108870832 190523956 333416923 381047912 666833846 762095824 1333667692 2667335384 5334670768