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5163311142 = 235111950833
BaseRepresentation
bin1001100111100000…
…11110000000100110
3111022211200101100000
410303300132000212
541033301424032
62212203402130
7241644264153
oct46360360046
914284611300
105163311142
11220a6110a0
121001223346
1364393b4c2
1436da5322a
15203464e7c
hex133c1e026

5163311142 has 96 divisors (see below), whose sum is σ = 13322574720. Its totient is φ = 1482261120.

The previous prime is 5163311141. The next prime is 5163311149. The reversal of 5163311142 is 2411133615.

It is a happy number.

5163311142 is a `hidden beast` number, since 5 + 1 + 633 + 11 + 14 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5163311141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76158 + ... + 126990.

It is an arithmetic number, because the mean of its divisors is an integer number (138776820).

Almost surely, 25163311142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5163311142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661287360).

5163311142 is an abundant number, since it is smaller than the sum of its proper divisors (8159263578).

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

5163311142 is a wasteful number, since it uses less digits than its factorization.

5163311142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50880 (or 50868 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 5163311142 is about 71856.1837422500. The cubic root of 5163311142 is about 1728.3940616051.

Adding to 5163311142 its reverse (2411133615), we get a palindrome (7574444757).

The spelling of 5163311142 in words is "five billion, one hundred sixty-three million, three hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 243 297 342 418 486 513 594 627 891 1026 1254 1539 1782 1881 2673 3078 3762 4617 5346 5643 9234 11286 16929 33858 50787 50833 101574 101666 152499 304998 457497 559163 914994 965827 1118326 1372491 1677489 1931654 2744982 2897481 3354978 4117473 5032467 5794962 8234946 8692443 10064934 10624097 12352419 15097401 17384886 21248194 24704838 26077329 30194802 31872291 45292203 52154658 63744582 78231987 90584406 95616873 135876609 156463974 191233746 234695961 271753218 286850619 469391922 573701238 860551857 1721103714 2581655571 5163311142