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5989118976 = 210322922409
BaseRepresentation
bin1011001001111101…
…01011010000000000
3120110101120202201100
411210332223100000
544231203301401
62430143334400
7301262446161
oct54476532000
916411522640
105989118976
1125a3779805
1211b18b1400
13745a591a9
1440b5b9768
15250bd8b86
hex164fab400

5989118976 has 132 divisors (see below), whose sum is σ = 17890575300. Its totient is φ = 1927446528.

The previous prime is 5989118951. The next prime is 5989118977. The reversal of 5989118976 is 6798119895.

It can be written as a sum of positive squares in 2 ways, for example, as 3251736576 + 2737382400 = 57024^2 + 52320^2 .

It is a super-2 number, since 2×59891189762 = 71739092217366577152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5989118977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256060 + ... + 278468.

Almost surely, 25989118976 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 5989118976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945287650).

5989118976 is an abundant number, since it is smaller than the sum of its proper divisors (11901456324).

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

5989118976 is a wasteful number, since it uses less digits than its factorization.

5989118976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22464 (or 22443 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 63.

The square root of 5989118976 is about 77389.3983437008. The cubic root of 5989118976 is about 1816.0214763255.

The spelling of 5989118976 in words is "five billion, nine hundred eighty-nine million, one hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 3072 3712 4176 4608 5568 7424 8352 9216 11136 14848 16704 22272 22409 29696 33408 44544 44818 66816 67227 89088 89636 133632 134454 179272 201681 267264 268908 358544 403362 537816 649861 717088 806724 1075632 1299722 1434176 1613448 1949583 2151264 2599444 2868352 3226896 3899166 4302528 5198888 5736704 5848749 6453792 7798332 8605056 10397776 11473408 11697498 12907584 15596664 17210112 20795552 22946816 23394996 25815168 31193328 34420224 41591104 46789992 51630336 62386656 68840448 83182208 93579984 103260672 124773312 166364416 187159968 206521344 249546624 332728832 374319936 499093248 665457664 748639872 998186496 1497279744 1996372992 2994559488 5989118976