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21241896516 = 223626992
BaseRepresentation
bin10011110010000111…
…011001111001000100
32000211101101011000000
4103302013121321010
5322000411142031
613431451321300
71351252066311
oct236207317104
960741334000
1021241896516
119010551285
124149a50230
132006a7ac49
1410571ddd08
15844cd03e6
hex4f21d9e44

21241896516 has 63 divisors (see below), whose sum is σ = 55755139951. Its totient is φ = 7078008744.

The previous prime is 21241896503. The next prime is 21241896541. The reversal of 21241896516 is 61569814212.

The square root of 21241896516 is 145746.

It is a perfect power (a square), and thus also a powerful number.

21241896516 is a `hidden beast` number, since 2 + 1 + 2 + 41 + 8 + 96 + 516 = 666.

It is a Duffinian number.

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 20 ways as a sum of consecutive naturals, for example, 7868935 + ... + 7871633.

Almost surely, 221241896516 is an apocalyptic number.

21241896516 is the 145746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21241896516

21241896516 is an abundant number, since it is smaller than the sum of its proper divisors (34513243435).

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

21241896516 is an frugal number, since it uses more digits than its factorization.

21241896516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 2704 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 21241896516 in words is "twenty-one billion, two hundred forty-one million, eight hundred ninety-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2699 2916 5398 8097 10796 16194 24291 32388 48582 72873 97164 145746 218619 291492 437238 655857 874476 1311714 1967571 2623428 3935142 7284601 7870284 14569202 21853803 29138404 43707606 65561409 87415212 131122818 196684227 262245636 393368454 590052681 786736908 1180105362 1770158043 2360210724 3540316086 5310474129 7080632172 10620948258 21241896516