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996450674418 = 234172327158049
BaseRepresentation
bin11101000000000010001…
…01101010011011110010
310112021000100202000010000
432200001011222123302
5112311212333040133
62041432500050430
7131663655661023
oct16400105523362
93467010660100
10996450674418
11354657479071
12141151393a16
1372c70b4baa4
143632acc8c4a
151adbed64413
hexe80116a6f2

996450674418 has 160 divisors (see below), whose sum is σ = 2476061913600. Its totient is φ = 297911623680.

The previous prime is 996450674339. The next prime is 996450674423. The reversal of 996450674418 is 814476054699.

996450674418 is a `hidden beast` number, since 9 + 96 + 45 + 0 + 67 + 441 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 17136658 + ... + 17194706.

It is an arithmetic number, because the mean of its divisors is an integer number (15475386960).

Almost surely, 2996450674418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996450674418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238030956800).

996450674418 is an abundant number, since it is smaller than the sum of its proper divisors (1479611239182).

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

996450674418 is a wasteful number, since it uses less digits than its factorization.

996450674418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58374 (or 58365 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 996450674418 in words is "nine hundred ninety-six billion, four hundred fifty million, six hundred seventy-four thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 138 153 162 207 271 306 391 414 459 542 621 782 813 918 1173 1242 1377 1626 1863 2346 2439 2754 3519 3726 4607 4878 6233 7038 7317 9214 10557 12466 13821 14634 18699 21114 21951 27642 31671 37398 41463 43902 56097 58049 63342 82926 105961 112194 116098 124389 168291 174147 211922 248778 317883 336582 348294 373167 504873 522441 635766 746334 953649 986833 1009746 1044882 1335127 1567323 1907298 1973666 2670254 2860947 2960499 3134646 4005381 4701969 5721894 5920998 8010762 8582841 8881497 9403938 12016143 15731279 17165682 17762994 22697159 24032286 26644491 31462558 36048429 45394318 47193837 53288982 68091477 72096858 79933473 94387674 108145287 136182954 141581511 159866946 204274431 216290574 267431743 283163022 361819417 408548862 424744533 534863486 612823293 723638834 802295229 849489066 1085458251 1225646586 1274233599 1604590458 1838469879 2170916502 2406885687 2548467198 3256374753 3676939758 4813771374 6150930089 6512749506 7220657061 9769124259 12301860178 14441314122 18452790267 19538248518 21661971183 29307372777 36905580534 43323942366 55358370801 58614745554 110716741602 166075112403 332150224806 498225337209 996450674418