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5995916206336 = 2872218632
BaseRepresentation
bin101011101000000100001…
…1101001010000100000000
3210020012111201011100011001
41113100020131022010000
51241214114022100321
620430252541101344
71156122251561200
oct127201035120400
923205451140131
105995916206336
111a01943426871
1280a070257854
13346549280344
1416a2bd6a6400
15a5e7a6aec91
hex5740874a100

5995916206336 has 81 divisors (see below), whose sum is σ = 13923073961391. Its totient is φ = 2569560838656.

The previous prime is 5995916206309. The next prime is 5995916206349. The reversal of 5995916206336 is 6336026195995.

The square root of 5995916206336 is 2448656.

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

It is a super-2 number, since 2×59959162063362 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 274238541 + ... + 274260403.

Almost surely, 25995916206336 is an apocalyptic number.

5995916206336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5995916206336 is the 2448656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5995916206336

5995916206336 is an abundant number, since it is smaller than the sum of its proper divisors (7927157755055).

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

5995916206336 is an frugal number, since it uses more digits than its factorization.

5995916206336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43756 (or 21872 counting only the distinct ones).

The product of its (nonzero) digits is 70858800, while the sum is 64.

Multiplying 5995916206336 by its sum of digits (64), we get a square (383738637205504 = 195892482).

5995916206336 divided by its sum of digits (64) gives a square (93686190724 = 3060822).

The spelling of 5995916206336 in words is "five trillion, nine hundred ninety-five billion, nine hundred sixteen million, two hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 21863 43726 87452 153041 174904 306082 349808 612164 699616 1071287 1224328 1399232 2142574 2448656 2798464 4285148 4897312 5596928 8570296 9794624 17140592 19589248 34281184 39178496 68562368 137124736 274249472 477990769 955981538 1911963076 3345935383 3823926152 6691870766 7647852304 13383741532 15295704608 23421547681 26767483064 30591409216 46843095362 53534966128 61182818432 93686190724 107069932256 122365636864 187372381448 214139864512 374744762896 428279729024 749489525792 856559458048 1498979051584 2997958103168 5995916206336