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97212283392 = 293719475859
BaseRepresentation
bin101101010001001001…
…1011011101000000000
3100021220220001122222110
41122202103123220000
53043042321032032
6112354140335320
710011003526560
oct1324223335000
9307826048873
1097212283392
1138255888384
1216a10244540
1392230c34a3
1449c2b16da0
1527de6297cc
hex16a24dba00

97212283392 has 160 divisors (see below), whose sum is σ = 311555059200. Its totient is φ = 26313043968.

The previous prime is 97212283381. The next prime is 97212283393. The reversal of 97212283392 is 29338221279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (97212283393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33642 + ... + 442217.

It is an arithmetic number, because the mean of its divisors is an integer number (1947219120).

Almost surely, 297212283392 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 97212283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155777529600).

97212283392 is an abundant number, since it is smaller than the sum of its proper divisors (214342775808).

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

97212283392 is a wasteful number, since it uses less digits than its factorization.

97212283392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475906 (or 475890 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The spelling of 97212283392 in words is "ninety-seven billion, two hundred twelve million, two hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12768 14592 17024 25536 29184 34048 51072 68096 102144 204288 475859 951718 1427577 1903436 2855154 3331013 3806872 5710308 6662026 7613744 9041321 9993039 11420616 13324052 15227488 18082642 19986078 22841232 26648104 27123963 30454976 36165284 39972156 45682464 53296208 54247926 60909952 63289247 72330568 79944312 91364928 106592416 108495852 121819904 126578494 144661136 159888624 182729856 189867741 213184832 216991704 243639808 253156988 289322272 319777248 365459712 379735482 426369664 433983408 506313976 578644544 639554496 730919424 759470964 852739328 867966816 1012627952 1157289088 1279108992 1518941928 1705478656 1735933632 2025255904 2314578176 2558217984 3037883856 3471867264 4050511808 4629156352 5116435968 6075767712 6943734528 8101023616 12151535424 13887469056 16202047232 24303070848 32404094464 48606141696 97212283392