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382442669056 = 210773730879
BaseRepresentation
bin1011001000010110101…
…11000000010000000000
31100120011002100112202101
411210023113000100000
522231220310402211
6451405225400144
736426200023150
oct5441327002000
91316132315671
10382442669056
11138213a09838
1262153339054
132a0ab03ba16
1414720486760
159e353315c1
hex590b5c0400

382442669056 has 88 divisors (see below), whose sum is σ = 885697925120. Its totient is φ = 161658519552.

The previous prime is 382442669053. The next prime is 382442669093. The reversal of 382442669056 is 650966244283.

It is a super-2 number, since 2×3824426690562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382442668988 and 382442669006.

It is not an unprimeable number, because it can be changed into a prime (382442669053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157825 + ... + 888703.

Almost surely, 2382442669056 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 382442669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442848962560).

382442669056 is an abundant number, since it is smaller than the sum of its proper divisors (503255256064).

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

382442669056 is an equidigital number, since it uses as much as digits as its factorization.

382442669056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730979 (or 730961 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 382442669056 in words is "three hundred eighty-two billion, four hundred forty-two million, six hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 512 584 896 1022 1024 1168 1792 2044 2336 3584 4088 4672 7168 8176 9344 16352 18688 32704 37376 65408 74752 130816 261632 523264 730879 1461758 2923516 5116153 5847032 10232306 11694064 20464612 23388128 40929224 46776256 53354167 81858448 93552512 106708334 163716896 187105024 213416668 327433792 373479169 374210048 426833336 654867584 746958338 748420096 853666672 1309735168 1493916676 1707333344 2619470336 2987833352 3414666688 5238940672 5975666704 6829333376 11951333408 13658666752 23902666816 27317333504 47805333632 54634667008 95610667264 191221334528 382442669056