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5157420160 = 2759783077
BaseRepresentation
bin1001100110110011…
…11111110010000000
3111022102121002102111
410303121333302000
541030244421120
62211433225104
7241543230244
oct46331776200
914272532374
105157420160
112207258112
12bbb262194
13642658009
1436cd5c424
15202b9e75a
hex13367fc80

5157420160 has 64 divisors (see below), whose sum is σ = 12456715320. Its totient is φ = 2041675776.

The previous prime is 5157420139. The next prime is 5157420179. The reversal of 5157420160 is 610247515.

It can be written as a sum of positive squares in 4 ways, for example, as 4007396416 + 1150023744 = 63304^2 + 33912^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20542 + ... + 103618.

Almost surely, 25157420160 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 5157420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228357660).

5157420160 is an abundant number, since it is smaller than the sum of its proper divisors (7299295160).

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

5157420160 is an equidigital number, since it uses as much as digits as its factorization.

5157420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83193 (or 83181 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 5157420160 is about 71815.1805678994. The cubic root of 5157420160 is about 1727.7364853084.

Adding to 5157420160 its reverse (610247515), we get a palindrome (5767667675).

The spelling of 5157420160 in words is "five billion, one hundred fifty-seven million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 3104 3880 6208 7760 12416 15520 31040 62080 83077 166154 332308 415385 664616 830770 1329232 1661540 2658464 3323080 5316928 6646160 8058469 10633856 13292320 16116938 26584640 32233876 40292345 53169280 64467752 80584690 128935504 161169380 257871008 322338760 515742016 644677520 1031484032 1289355040 2578710080 5157420160