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378814010607 = 33151199466909
BaseRepresentation
bin1011000001100110001…
…00110001010011101111
31100012210012101121011000
411200303010301103233
522201302341314412
6450005202531343
736240235651044
oct5406304612357
91305705347130
10378814010607
111367216a6a5a
1261500066b53
1329950336446
14144985971cb
159cc19ad4dc
hex58331314ef

378814010607 has 32 divisors (see below), whose sum is σ = 567762560000. Its totient is φ = 249609016800.

The previous prime is 378814010527. The next prime is 378814010621. The reversal of 378814010607 is 706010418873.

378814010607 is a `hidden beast` number, since 37 + 8 + 8 + 1 + 4 + 0 + 1 + 0 + 607 = 666.

It is not a de Polignac number, because 378814010607 - 210 = 378814009583 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378814010647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577869 + ... + 1044777.

It is an arithmetic number, because the mean of its divisors is an integer number (17742580000).

Almost surely, 2378814010607 is an apocalyptic number.

378814010607 is a deficient number, since it is larger than the sum of its proper divisors (188948549393).

378814010607 is a wasteful number, since it uses less digits than its factorization.

378814010607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467268 (or 467262 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 378814010607 in words is "three hundred seventy-eight billion, eight hundred fourteen million, ten thousand, six hundred seven".

Divisors: 1 3 9 27 151 199 453 597 1359 1791 4077 5373 30049 90147 270441 466909 811323 1400727 4202181 12606543 70503259 92914891 211509777 278744673 634529331 836234019 1903587993 2508702057 14030148541 42090445623 126271336869 378814010607