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5137098896 = 241761409757
BaseRepresentation
bin1001100100011000…
…11110100010010000
3111021000100122220002
410302030132202100
541010044131041
62205425505132
7241205422466
oct46214364220
914230318802
105137098896
1121a6838486
12bb44a21a8
1363b3915b7
1436a38c836
15200ed859b
hex13231e890

5137098896 has 80 divisors (see below), whose sum is σ = 10751744880. Its totient is φ = 2368880640.

The previous prime is 5137098893. The next prime is 5137098917. The reversal of 5137098896 is 6988907315.

It can be written as a sum of positive squares in 8 ways, for example, as 113124496 + 5023974400 = 10636^2 + 70880^2 .

It is not an unprimeable number, because it can be changed into a prime (5137098893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6785750 + ... + 6786506.

It is an arithmetic number, because the mean of its divisors is an integer number (134396811).

Almost surely, 25137098896 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 5137098896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375872440).

5137098896 is an abundant number, since it is smaller than the sum of its proper divisors (5614645984).

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

5137098896 is a wasteful number, since it uses less digits than its factorization.

5137098896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 56.

The square root of 5137098896 is about 71673.5578578321. The cubic root of 5137098896 is about 1725.4642896144.

The spelling of 5137098896 in words is "five billion, one hundred thirty-seven million, ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 409 488 757 818 976 1037 1514 1636 2074 3028 3272 4148 6056 6544 6953 8296 12112 12869 13906 16592 24949 25738 27812 46177 49898 51476 55624 92354 99796 102952 111248 184708 199592 205904 309613 369416 399184 424133 619226 738832 785009 848266 1238452 1570018 1696532 2476904 3140036 3393064 4953808 5263421 6280072 6786128 10526842 12560144 18886393 21053684 37772786 42107368 75545572 84214736 151091144 302182288 321068681 642137362 1284274724 2568549448 5137098896