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6121593296 = 24713291131283
BaseRepresentation
bin1011011001110000…
…00001100111010000
3120210121212011022122
411230320001213100
5100014111441141
62451234553412
7304461453530
oct55470014720
916717764278
106121593296
112661530715
12122a138868
1376732cc70
144210214c0
1525c65564b
hex16ce019d0

6121593296 has 160 divisors (see below), whose sum is σ = 15246524160. Its totient is φ = 2315722752.

The previous prime is 6121593263. The next prime is 6121593301. The reversal of 6121593296 is 6923951216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4770671 + ... + 4771953.

It is an arithmetic number, because the mean of its divisors is an integer number (95290776).

Almost surely, 26121593296 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 6121593296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623262080).

6121593296 is an abundant number, since it is smaller than the sum of its proper divisors (9124930864).

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

6121593296 is a wasteful number, since it uses less digits than its factorization.

6121593296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1447 counting only the distinct ones).

The product of its digits is 174960, while the sum is 44.

The square root of 6121593296 is about 78240.6115518022. The cubic root of 6121593296 is about 1829.3135765536.

The spelling of 6121593296 in words is "six billion, one hundred twenty-one million, five hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 113 116 182 203 208 226 232 364 377 406 452 464 728 754 791 812 904 1283 1456 1469 1508 1582 1624 1808 2566 2639 2938 3016 3164 3248 3277 5132 5278 5876 6032 6328 6554 8981 10264 10283 10556 11752 12656 13108 16679 17962 20528 20566 21112 22939 23504 26216 33358 35924 37207 41132 42224 42601 45878 52432 66716 71848 74414 82264 85202 91756 116753 133432 143696 144979 148828 164528 170404 183512 233506 260449 266864 289958 297656 298207 340808 367024 467012 483691 520898 579916 595312 596414 681616 934024 967382 1014853 1041796 1159832 1192828 1868048 1884727 1934764 2029706 2083592 2319664 2385656 3385837 3769454 3869528 4059412 4167184 4204391 4771312 6771674 7538908 7739056 8118824 8408782 13193089 13543348 15077816 16237648 16817564 26386178 27086696 29430737 30155632 33635128 52772356 54173392 54657083 58861474 67270256 105544712 109314166 117722948 211089424 218628332 235445896 382599581 437256664 470891792 765199162 874513328 1530398324 3060796648 6121593296