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5116557024 = 25336197081
BaseRepresentation
bin1001100001111100…
…00111011011100000
3111012120201000202000
410300332013123200
540434314311044
62203413324000
7240536005605
oct46076073340
914176630660
105116557024
112196188027
12ba9636600
1363704b647
143677626ac
151ee2cbd69
hex130f876e0

5116557024 has 96 divisors (see below), whose sum is σ = 15168091680. Its totient is φ = 1677542400.

The previous prime is 5116557013. The next prime is 5116557053. The reversal of 5116557024 is 4207556115.

5116557024 is a `hidden beast` number, since 5 + 1 + 1 + 65 + 570 + 24 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5116557024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4164 + ... + 101244.

It is an arithmetic number, because the mean of its divisors is an integer number (158000955).

Almost surely, 25116557024 is an apocalyptic number.

5116557024 is a gapful number since it is divisible by the number (54) 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 5116557024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584045840).

5116557024 is an abundant number, since it is smaller than the sum of its proper divisors (10051534656).

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

5116557024 is a wasteful number, since it uses less digits than its factorization.

5116557024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97161 (or 97147 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5116557024 is about 71530.1127078659. The cubic root of 5116557024 is about 1723.1613285756.

Subtracting from 5116557024 its reverse (4207556115), we obtain a palindrome (909000909).

The spelling of 5116557024 in words is "five billion, one hundred sixteen million, five hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4392 5856 6588 8784 13176 17568 26352 52704 97081 194162 291243 388324 582486 776648 873729 1164972 1553296 1747458 2329944 2621187 3106592 3494916 4659888 5242374 5921941 6989832 9319776 10484748 11843882 13979664 17765823 20969496 23687764 27959328 35531646 41938992 47375528 53297469 71063292 83877984 94751056 106594938 142126584 159892407 189502112 213189876 284253168 319784814 426379752 568506336 639569628 852759504 1279139256 1705519008 2558278512 5116557024