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382065196288 = 2883151193617
BaseRepresentation
bin1011000111101001101…
…11000011110100000000
31100112011210001221110111
411203310313003310000
522224432142240123
6451303543041104
736413634404356
oct5436467036400
91315153057414
10382065196288
1113803a92a976
1262068a40194
132a04aa86c59
14146c62a77d6
159e1211c90d
hex58f4dc3d00

382065196288 has 144 divisors (see below), whose sum is σ = 782229119616. Its totient is φ = 186207436800.

The previous prime is 382065196229. The next prime is 382065196297. The reversal of 382065196288 is 882691560283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619230156 + ... + 619230772.

It is an arithmetic number, because the mean of its divisors is an integer number (5432146664).

Almost surely, 2382065196288 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 382065196288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391114559808).

382065196288 is an abundant number, since it is smaller than the sum of its proper divisors (400163923328).

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

382065196288 is a wasteful number, since it uses less digits than its factorization.

382065196288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 382065196288 in words is "three hundred eighty-two billion, sixty-five million, one hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 151 166 193 256 302 332 386 604 617 664 772 1208 1234 1328 1544 2416 2468 2656 3088 4832 4936 5312 6176 9664 9872 10624 12352 12533 16019 19328 19744 21248 24704 25066 29143 32038 38656 39488 49408 50132 51211 58286 64076 78976 93167 100264 102422 116572 119081 128152 157952 186334 200528 204844 233144 238162 256304 372668 401056 409688 466288 476324 512608 745336 802112 819376 932576 952648 1025216 1490672 1604224 1638752 1865152 1905296 2050432 2418869 2981344 3208448 3277504 3730304 3810592 4100864 4837738 5962688 6555008 7460608 7621184 7732861 9675476 9883723 11925376 13110016 15242368 15465722 17981231 19350952 19767446 23850752 30484736 30931444 35962462 38701904 39534892 61862888 71924924 77403808 79069784 123725776 143849848 154807616 158139568 247451552 287699696 309615232 316279136 494903104 575399392 619230464 632558272 989806208 1150798784 1265116544 1492442173 1979612416 2301597568 2530233088 2984884346 4603195136 5969768692 11939537384 23879074768 47758149536 95516299072 191032598144 382065196288