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97063784496 = 24327211456367
BaseRepresentation
bin101101001100101110…
…0111101000000110000
3100021112112122010210100
41122121130331000300
53042241312100441
6112331313432400
710004221361310
oct1323134750060
9307475563710
1097063784496
1138189a80a18
121698a56b700
1391cb3cb913
1449ab0dd440
1527d1594cb6
hex169973d030

97063784496 has 120 divisors (see below), whose sum is σ = 311922051584. Its totient is φ = 27601015680.

The previous prime is 97063784471. The next prime is 97063784497. The reversal of 97063784496 is 69448736079.

97063784496 is a `hidden beast` number, since 9 + 7 + 0 + 63 + 7 + 84 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97063784497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15496 + ... + 440871.

Almost surely, 297063784496 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 97063784496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155961025792).

97063784496 is an abundant number, since it is smaller than the sum of its proper divisors (214858267088).

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

97063784496 is a wasteful number, since it uses less digits than its factorization.

97063784496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456599 (or 456590 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 97063784496 in words is "ninety-seven billion, sixty-three million, seven hundred eighty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 211 252 336 422 504 633 844 1008 1266 1477 1688 1899 2532 2954 3376 3798 4431 5064 5908 7596 8862 10128 11816 13293 15192 17724 23632 26586 30384 35448 53172 70896 106344 212688 456367 912734 1369101 1825468 2738202 3194569 3650936 4107303 5476404 6389138 7301872 8214606 9583707 10952808 12778276 16429212 19167414 21905616 25556552 28751121 32858424 38334828 51113104 57502242 65716848 76669656 96293437 115004484 153339312 192586874 230008968 288880311 385173748 460017936 577760622 674054059 770347496 866640933 1155521244 1348108118 1540694992 1733281866 2022162177 2311042488 2696216236 3466563732 4044324354 4622084976 5392432472 6066486531 6933127464 8088648708 10784864944 12132973062 13866254928 16177297416 24265946124 32354594832 48531892248 97063784496