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378356223840 = 25357112606019
BaseRepresentation
bin1011000000101111100…
…10011100111101100000
31100011121021222121202120
411200113302130331200
522144333143130330
6445451530544240
736223006560540
oct5402762347540
91304537877676
10378356223840
11136507251a91
12613b2898080
13298a95413ba
141445386d320
159c966d2c10
hex5817c9cf60

378356223840 has 96 divisors (see below), whose sum is σ = 1362082417920. Its totient is φ = 86481421824.

The previous prime is 378356223811. The next prime is 378356223887. The reversal of 378356223840 is 48322653873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56299650 + ... + 56306369.

It is an arithmetic number, because the mean of its divisors is an integer number (14188358520).

Almost surely, 2378356223840 is an apocalyptic number.

378356223840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378356223840 is an abundant number, since it is smaller than the sum of its proper divisors (983726194080).

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

378356223840 is a wasteful number, since it uses less digits than its factorization.

378356223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112606044 (or 112606036 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 378356223840 in words is "three hundred seventy-eight billion, three hundred fifty-six million, two hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 112606019 225212038 337818057 450424076 563030095 675636114 788242133 900848152 1126060190 1351272228 1576484266 1689090285 1801696304 2252120380 2364726399 2702544456 3152968532 3378180570 3603392608 3941210665 4504240760 4729452798 5405088912 6305937064 6756361140 7882421330 9008481520 9458905596 10810177824 11823631995 12611874128 13512722280 15764842660 18016963040 18917811192 23647263990 25223748256 27025444560 31529685320 37835622384 47294527980 54050889120 63059370640 75671244768 94589055960 126118741280 189178111920 378356223840