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378552229977312 = 25324243330976303
BaseRepresentation
bin101011000010010101000111…
…1001100100101110011100000
31211122100020110210002020011200
41112010222033030211303200
5344104144431333233222
63421040254344441200
7142510332103506246
oct12604521714456340
91748306423066150
10378552229977312
11aa68910aa93286
1236559b5ba79200
131332c4258b9651
14696a0506d2796
152db702b431eac
hex1584a8f325ce0

378552229977312 has 72 divisors (see below), whose sum is σ = 1076533308343584. Its totient is φ = 126181098860544.

The previous prime is 378552229977223. The next prime is 378552229977329. The reversal of 378552229977312 is 213779922255873.

378552229977312 is a `hidden beast` number, since 3 + 7 + 8 + 5 + 522 + 2 + 9 + 97 + 7 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3267448 + ... + 27708855.

It is an arithmetic number, because the mean of its divisors is an integer number (14951851504772).

Almost surely, 2378552229977312 is an apocalyptic number.

378552229977312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

378552229977312 is an abundant number, since it is smaller than the sum of its proper divisors (697981078366272).

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

378552229977312 is a wasteful number, since it uses less digits than its factorization.

378552229977312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31018752 (or 31018741 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 378552229977312 in words is "three hundred seventy-eight trillion, five hundred fifty-two billion, two hundred twenty-nine million, nine hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42433 84866 127299 169732 254598 339464 381897 509196 678928 763794 1018392 1357856 1527588 2036784 3055176 4073568 6110352 12220704 30976303 61952606 92928909 123905212 185857818 247810424 278786727 371715636 495620848 557573454 743431272 991241696 1115146908 1486862544 2230293816 2973725088 4460587632 8921175264 1314417465199 2628834930398 3943252395597 5257669860796 7886504791194 10515339721592 11829757186791 15773009582388 21030679443184 23659514373582 31546019164776 42061358886368 47319028747164 63092038329552 94638057494328 126184076659104 189276114988656 378552229977312