Search a number
-
+
5313270978 = 23431234129
BaseRepresentation
bin1001111001011001…
…00001010011000010
3111201021212010120000
410330230201103002
541340144132403
62235121500430
7245445025641
oct47454412302
914637763500
105313270978
112287226144
1210434a1716
13668a25032
1438592b358
152116d77a3
hex13cb214c2

5313270978 has 60 divisors (see below), whose sum is σ = 12302465670. Its totient is φ = 1713908160.

The previous prime is 5313270973. The next prime is 5313271021. The reversal of 5313270978 is 8790723135.

It is a happy number.

5313270978 is a `hidden beast` number, since 531 + 3 + 27 + 0 + 97 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5141320209 + 171950769 = 71703^2 + 13113^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5313270971) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 138618 + ... + 172746.

Almost surely, 25313270978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313270978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151232835).

5313270978 is an abundant number, since it is smaller than the sum of its proper divisors (6989194692).

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

5313270978 is a wasteful number, since it uses less digits than its factorization.

5313270978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34205 (or 34165 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5313270978 is about 72892.1873591402. The cubic root of 5313270978 is about 1744.9674165173.

The spelling of 5313270978 in words is "five billion, three hundred thirteen million, two hundred seventy thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 961 1674 1922 2511 2883 5022 5766 8649 17298 25947 34129 51894 68258 77841 102387 155682 204774 307161 614322 921483 1057999 1842966 2115998 2764449 3173997 5528898 6347994 9521991 19043982 28565973 32797969 57131946 65595938 85697919 98393907 171395838 196787814 295181721 590363442 885545163 1771090326 2656635489 5313270978