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5468890296 = 2332931475393
BaseRepresentation
bin1010001011111100…
…01010010010111000
3112010010200102010110
411011332022102320
542200013442141
62302401144320
7252344541402
oct50576122270
915103612113
105468890296
112357056251
12108762b0a0
1369204087c
1439c479b72
152201c6e16
hex145f8a4b8

5468890296 has 128 divisors (see below), whose sum is σ = 14913331200. Its totient is φ = 1666775040.

The previous prime is 5468890291. The next prime is 5468890303. The reversal of 5468890296 is 6920988645.

It is a super-2 number, since 2×54688902962 = 59817522139365935232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5468890291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011376 + ... + 1016768.

It is an arithmetic number, because the mean of its divisors is an integer number (116510400).

Almost surely, 25468890296 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 5468890296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456665600).

5468890296 is an abundant number, since it is smaller than the sum of its proper divisors (9444440904).

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

5468890296 is a wasteful number, since it uses less digits than its factorization.

5468890296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The square root of 5468890296 is about 73951.9458567521. The cubic root of 5468890296 is about 1761.8397489114.

The spelling of 5468890296 in words is "five billion, four hundred sixty-eight million, eight hundred ninety thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 29 31 47 58 62 87 93 94 116 124 141 174 186 188 232 248 282 348 372 376 564 696 744 899 1128 1363 1457 1798 2697 2726 2914 3596 4089 4371 5393 5394 5452 5828 7192 8178 8742 10786 10788 10904 11656 16179 16356 17484 21572 21576 32358 32712 34968 42253 43144 64716 84506 126759 129432 156397 167183 169012 253471 253518 312794 334366 338024 469191 501549 506942 507036 625588 668732 760413 938382 1003098 1013884 1014072 1251176 1337464 1520826 1876764 2006196 2027768 3041652 3753528 4012392 4848307 6083304 7350659 7857601 9696614 14544921 14701318 15715202 19393228 22051977 23572803 29089842 29402636 31430404 38786456 44103954 47145606 58179684 58805272 62860808 88207908 94291212 116359368 176415816 188582424 227870429 455740858 683611287 911481716 1367222574 1822963432 2734445148 5468890296