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378315133287 = 371331211211859
BaseRepresentation
bin1011000000101010101…
…01101101000101100111
31100011111102200000010020
411200111111231011213
522144242133231122
6445443502130223
736222000401160
oct5402525550547
91304442600106
10378315133287
11136496037053
12613a0b80973
13298a0b85370
141444c214767
159c92cb7c5c
hex581556d167

378315133287 has 64 divisors (see below), whose sum is σ = 643891691520. Its totient is φ = 192197577600.

The previous prime is 378315133283. The next prime is 378315133303. The reversal of 378315133287 is 782331513873.

It is a happy number.

It is not a de Polignac number, because 378315133287 - 22 = 378315133283 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378315133283) 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 63 ways as a sum of consecutive naturals, for example, 1679764 + ... + 1891622.

It is an arithmetic number, because the mean of its divisors is an integer number (10060807680).

Almost surely, 2378315133287 is an apocalyptic number.

378315133287 is a deficient number, since it is larger than the sum of its proper divisors (265576558233).

378315133287 is a wasteful number, since it uses less digits than its factorization.

378315133287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212124.

The product of its digits is 2540160, while the sum is 51.

The spelling of 378315133287 in words is "three hundred seventy-eight billion, three hundred fifteen million, one hundred thirty-three thousand, two hundred eighty-seven".

Divisors: 1 3 7 13 21 31 39 91 93 211 217 273 403 633 651 1209 1477 2743 2821 4431 6541 8229 8463 19201 19623 45787 57603 85033 137361 211859 255099 595231 635577 1483013 1785693 2754167 4449039 6567629 8262501 19279169 19702887 44702249 45973403 57837507 85379177 134106747 137920209 256137531 312915743 581129237 597654239 938747229 1385769719 1743387711 1792962717 4067904659 4157309157 9700388033 12203713977 18015006347 29101164099 54045019041 126105044429 378315133287