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21375657498 = 23137313128657
BaseRepresentation
bin10011111010000101…
…101010011000011010
32001011201001220120110
4103322011222120122
5322234132014443
613453030305150
71354465043106
oct237205523032
961151056513
1021375657498
11907a001948
1241867b81b6
1320286b2560
14106ac9c906
15851903233
hex4fa16a61a

21375657498 has 64 divisors (see below), whose sum is σ = 47028465792. Its totient is φ = 6437283840.

The previous prime is 21375657493. The next prime is 21375657517. The reversal of 21375657498 is 89475657312.

It is a super-3 number, since 3×213756574983 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21375657493) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 731586 + ... + 760242.

It is an arithmetic number, because the mean of its divisors is an integer number (734819778).

Almost surely, 221375657498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21375657498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514232896).

21375657498 is an abundant number, since it is smaller than the sum of its proper divisors (25652808294).

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

21375657498 is a wasteful number, since it uses less digits than its factorization.

21375657498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28879.

The product of its digits is 12700800, while the sum is 57.

The spelling of 21375657498 in words is "twenty-one billion, three hundred seventy-five million, six hundred fifty-seven thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 73 78 131 146 219 262 393 438 786 949 1703 1898 2847 3406 5109 5694 9563 10218 19126 28657 28689 57314 57378 85971 124319 171942 248638 372541 372957 745082 745914 1117623 2091961 2235246 3754067 4183922 6275883 7508134 11262201 12551766 22524402 27195493 48802871 54390986 81586479 97605742 146408613 163172958 274046891 292817226 548093782 822140673 1644281346 3562609583 7125219166 10687828749 21375657498