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238069016604 = 2232611516911039
BaseRepresentation
bin1101110110111000000…
…1001110100000011100
3211202111102212002202100
43131232001032200130
512400031132012404
6301211205125100
723125400152416
oct3355601164034
9752442762670
10238069016604
1191a678318a1
123a1809b9790
13195b03103c3
14b74603b9b6
1562d567cd39
hex376e04e81c

238069016604 has 144 divisors (see below), whose sum is σ = 617186053120. Its totient is φ = 77351760000.

The previous prime is 238069016593. The next prime is 238069016609. The reversal of 238069016604 is 406610960832.

238069016604 is a `hidden beast` number, since 2 + 38 + 0 + 6 + 9 + 0 + 1 + 6 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 238069016604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238069016609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229132317 + ... + 229133355.

Almost surely, 2238069016604 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 238069016604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308593026560).

238069016604 is an abundant number, since it is smaller than the sum of its proper divisors (379117036516).

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

238069016604 is a wasteful number, since it uses less digits than its factorization.

238069016604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 238069016604 in words is "two hundred thirty-eight billion, sixty-nine million, sixteen thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 151 183 244 302 366 453 549 604 691 732 906 1039 1098 1359 1382 1812 2073 2078 2196 2718 2764 3117 4146 4156 5436 6219 6234 8292 9211 9351 12438 12468 18422 18702 24876 27633 36844 37404 42151 55266 63379 82899 84302 104341 110532 126453 126758 156889 165798 168604 190137 208682 252906 253516 313023 313778 331596 379359 380274 417364 470667 505812 570411 626046 627556 717949 758718 760548 939069 941334 1140822 1252092 1412001 1435898 1517436 1878138 1882668 2153847 2281644 2824002 2871796 3756276 4307694 5648004 6364801 6461541 8615388 9570229 12729602 12923082 19094403 19140458 25459204 25846164 28710687 38188806 38280916 43794889 57283209 57421374 76377612 86132061 87589778 108410299 114566418 114842748 131384667 172264122 175179556 216820598 229132836 262769334 325230897 344528244 394154001 433641196 525538668 650461794 788308002 975692691 1300923588 1576616004 1951385382 3902770764 6613028239 13226056478 19839084717 26452112956 39678169434 59517254151 79356338868 119034508302 238069016604