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378855076688 = 241123367725453
BaseRepresentation
bin1011000001101011000…
…01011011001101010000
31100012220001122222012222
411200311201123031100
522201343344423223
6450013231040212
736241245006164
oct5406541331520
91305801588188
10378855076688
111367428a5570
1261511970068
13299589b42ba
141449dc06ca4
159cc53c10c8
hex583585b350

378855076688 has 80 divisors (see below), whose sum is σ = 835837681536. Its totient is φ = 164668331520.

The previous prime is 378855076687. The next prime is 378855076759. The reversal of 378855076688 is 886670558873.

It is a super-2 number, since 2×3788550766882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378855076687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14871770 + ... + 14897222.

Almost surely, 2378855076688 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 378855076688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417918840768).

378855076688 is an abundant number, since it is smaller than the sum of its proper divisors (456982604848).

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

378855076688 is a wasteful number, since it uses less digits than its factorization.

378855076688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29172 (or 29166 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 71.

The spelling of 378855076688 in words is "three hundred seventy-eight billion, eight hundred fifty-five million, seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 3677 4048 7354 14708 25453 29416 40447 50906 58832 80894 84571 101812 161788 169142 203624 279983 323576 338284 407248 559966 585419 647152 676568 930281 1119932 1170838 1353136 1860562 2239864 2341676 3721124 4479728 4683352 6439609 7442248 9366704 12879218 14884496 25758436 51516872 93590681 103033744 187181362 374362724 748725448 1029497491 1497450896 2058994982 2152585663 4117989964 4305171326 8235979928 8610342652 16471959856 17220685304 23678442293 34441370608 47356884586 94713769172 189427538344 378855076688