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378838129845 = 3572618449607
BaseRepresentation
bin1011000001101001000…
…00110001110010110101
31100012211212202222112010
411200310200301302311
522201330030123340
6450011423514433
736240650654400
oct5406440616265
91305755688463
10378838129845
1113673428010a
1261508158a19
132995532c796
141449b874d37
159cc3b74b80
hex5834831cb5

378838129845 has 48 divisors (see below), whose sum is σ = 716661952128. Its totient is φ = 170344056960.

The previous prime is 378838129829. The next prime is 378838129913. The reversal of 378838129845 is 548921838873.

It is not a de Polignac number, because 378838129845 - 24 = 378838129829 is a prime.

It is a super-3 number, since 3×3788381298453 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4179969 + ... + 4269638.

It is an arithmetic number, because the mean of its divisors is an integer number (14930457336).

Almost surely, 2378838129845 is an apocalyptic number.

378838129845 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

378838129845 is a deficient number, since it is larger than the sum of its proper divisors (337823822283).

378838129845 is a wasteful number, since it uses less digits than its factorization.

378838129845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8449690 (or 8449683 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 66.

The spelling of 378838129845 in words is "three hundred seventy-eight billion, eight hundred thirty-eight million, one hundred twenty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 61 105 147 183 245 305 427 735 915 1281 2135 2989 6405 8967 14945 44835 8449607 25348821 42248035 59147249 126744105 177441747 295736245 414030743 515426027 887208735 1242092229 1546278081 2070153715 2577130135 3607982189 6210461145 7731390405 10823946567 18039910945 25255875323 54119732835 75767625969 126279376615 378838129845