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379635893316 = 223210329972
BaseRepresentation
bin1011000011001000001…
…00000000010001000100
31100021220110220120021100
411201210010000101010
522204443242041231
6450222522420100
736266505564411
oct5414404002104
91307813816240
10379635893316
11137003623669
12616ab361630
1329a516ab684
14145357bb108
159d1dc091e6
hex5864100444

379635893316 has 81 divisors (see below), whose sum is σ = 970015409181. Its totient is φ = 125191008864.

The previous prime is 379635893279. The next prime is 379635893327. The reversal of 379635893316 is 613398536973.

It is a happy number.

The square root of 379635893316 is 616146.

It is a perfect power (a square), and thus also a powerful number.

379635893316 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 3 + 589 + 33 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 326783722500 + 52852170816 = 571650^2 + 229896^2 .

It is a super-3 number, since 3×3796358933163 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 380777730 + ... + 380778726.

Almost surely, 2379635893316 is an apocalyptic number.

379635893316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

379635893316 is the 616146-th square number.

It is an amenable number.

379635893316 is an abundant number, since it is smaller than the sum of its proper divisors (590379515865).

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

379635893316 is an equidigital number, since it uses as much as digits as its factorization.

379635893316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 1105 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 63.

The spelling of 379635893316 in words is "three hundred seventy-nine billion, six hundred thirty-five million, eight hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 997 1236 1854 1994 2991 3708 3988 5982 8973 10609 11964 17946 21218 31827 35892 42436 63654 95481 102691 127308 190962 205382 308073 381924 410764 616146 924219 994009 1232292 1848438 1988018 2982027 3696876 3976036 5964054 8946081 10577173 11928108 17892162 21154346 31731519 35784324 42308692 63463038 95194557 102382927 126926076 190389114 204765854 307148781 380778228 409531708 614297562 921446343 1228595124 1842892686 3685785372 10545441481 21090882962 31636324443 42181765924 63272648886 94908973329 126545297772 189817946658 379635893316