Search a number
-
+
5307161776 = 247219973673
BaseRepresentation
bin1001111000101010…
…01101110010110000
3111200212100202022021
410330111031302300
541332113134101
62234342521224
7245342062600
oct47425156260
914625322267
105307161776
112283833214
121041436214
13667696417
14384bbac00
15210dcc5a1
hex13c54dcb0

5307161776 has 120 divisors (see below), whose sum is σ = 12724237680. Its totient is φ = 2131992576.

The previous prime is 5307161771. The next prime is 5307161803. The reversal of 5307161776 is 6771617035.

It is a super-2 number, since 2×53071617762 = 56331932233270948352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5307161771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443076 + ... + 1446748.

It is an arithmetic number, because the mean of its divisors is an integer number (106035314).

Almost surely, 25307161776 is an apocalyptic number.

5307161776 is a gapful number since it is divisible by the number (56) 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 5307161776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362118840).

5307161776 is an abundant number, since it is smaller than the sum of its proper divisors (7417075904).

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

5307161776 is a wasteful number, since it uses less digits than its factorization.

5307161776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 5307161776 is about 72850.2695671059. The cubic root of 5307161776 is about 1744.2983718523.

The spelling of 5307161776 in words is "five billion, three hundred seven million, one hundred sixty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 97 98 112 133 152 194 196 266 304 388 392 532 679 776 784 931 1064 1358 1552 1843 1862 2128 2716 3673 3686 3724 4753 5432 7346 7372 7448 9506 10864 12901 14692 14744 14896 19012 25711 25802 29384 29488 38024 51422 51604 58768 69787 76048 90307 102844 103208 139574 179977 180614 205688 206416 279148 356281 359954 361228 411376 488509 558296 712562 719908 722456 977018 1116592 1425124 1439816 1444912 1954036 2493967 2850248 2879632 3419563 3908072 4987934 5700496 6769339 6839126 7816144 9975868 13538678 13678252 17457769 19951736 27077356 27356504 34915538 39903472 47385373 54154712 54713008 69831076 94770746 108309424 139662152 189541492 279324304 331697611 379082984 663395222 758165968 1326790444 2653580888 5307161776