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379043098943976 = 233212178943226297
BaseRepresentation
bin101011000101111001101100…
…1010001000110000111101000
31211201002011111021122101110100
41112023303121101012013220
5344140220231312201401
63422053555030145400
7142560650226051315
oct12613633121060750
91751064437571410
10379043098943976
11aa8583037a2235
1236619112ab2260
13133667c30991cc
146985ad8d51d0c
152dc4baa603b86
hex158bcd94461e8

379043098943976 has 48 divisors (see below), whose sum is σ = 1026583512516900. Its totient is φ = 126346659293952.

The previous prime is 379043098943947. The next prime is 379043098943989. The reversal of 379043098943976 is 679349890340973.

379043098943976 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 4 + 30 + 9 + 89 + 439 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 362999661502500 + 16043437441476 = 19052550^2 + 4005426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 379043098943895 and 379043098943904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12844341 + ... + 30381956.

Almost surely, 2379043098943976 is an apocalyptic number.

379043098943976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379043098943976 is an abundant number, since it is smaller than the sum of its proper divisors (647540413572924).

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

379043098943976 is a wasteful number, since it uses less digits than its factorization.

379043098943976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43348098 (or 43348091 counting only the distinct ones).

The product of its (nonzero) digits is 6666395904, while the sum is 81.

The spelling of 379043098943976 in words is "three hundred seventy-nine trillion, forty-three billion, ninety-eight million, nine hundred forty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 121789 243578 365367 487156 730734 974312 1096101 1461468 2192202 2922936 4384404 8768808 43226297 86452594 129678891 172905188 259357782 345810376 389036673 518715564 778073346 1037431128 1556146692 3112293384 5264487485333 10528974970666 15793462455999 21057949941332 31586924911998 42115899882664 47380387367997 63173849823996 94760774735994 126347699647992 189521549471988 379043098943976