Search a number
-
+
630973166418 = 234719104927917
BaseRepresentation
bin10010010111010001110…
…11100111001101010010
32020022122121022221020000
421023220323213031102
540314213112311133
61201510504430430
763405050264520
oct11135073471522
92208577287200
10630973166418
112236599a29a1
12a2353778416
1347667825b0a
1422779a53310
151162e127413
hex92e8ee7352

630973166418 has 160 divisors (see below), whose sum is σ = 1702551312000. Its totient is φ = 170620805376.

The previous prime is 630973166401. The next prime is 630973166419. The reversal of 630973166418 is 814661379036.

It is a happy number.

630973166418 is a `hidden beast` number, since 6 + 309 + 7 + 316 + 6 + 4 + 18 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (630973166419) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22587796 + ... + 22615712.

It is an arithmetic number, because the mean of its divisors is an integer number (10640945700).

Almost surely, 2630973166418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630973166418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851275656000).

630973166418 is an abundant number, since it is smaller than the sum of its proper divisors (1071578145582).

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

630973166418 is a wasteful number, since it uses less digits than its factorization.

630973166418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29006 (or 28997 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 630973166418 in words is "six hundred thirty billion, nine hundred seventy-three million, one hundred sixty-six thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1049 1134 1197 1539 2098 2394 3078 3147 3591 6294 7182 7343 9441 10773 14686 18882 19931 21546 22029 27917 28323 39862 44058 55834 56646 59793 66087 83751 84969 119586 132174 139517 167502 169938 179379 195419 198261 251253 279034 358758 390838 396522 418551 502506 530423 538137 586257 594783 753759 837102 1060846 1076274 1172514 1189566 1255653 1507518 1591269 1614411 1758771 2261277 2511306 3182538 3228822 3517542 3712961 3766959 4522554 4773807 5276313 7425922 7533918 9547614 10552626 11138883 11300877 14321421 15828939 22277766 22601754 28642842 29284933 31657878 33416649 42964263 58569866 66833298 85928526 87854799 100249947 175709598 200499894 204994531 263564397 300749841 409989062 527128794 556413727 601499682 614983593 790693191 1112827454 1229967186 1581386382 1669241181 1844950779 2372079573 3338482362 3689901558 3894896089 4744159146 5007723543 5534852337 7789792178 10015447086 11069704674 11684688267 15023170629 16604557011 23369376534 30046341258 33209114022 35054064801 45069511887 70108129602 90139023774 105162194403 210324388806 315486583209 630973166418