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78000054369120 = 25335135326205469
BaseRepresentation
bin10001101111000011001101…
…100010000111101101100000
3101020011201202220022102002000
4101233003031202013231200
540210423102404302440
6433520421424524000
722300214026544652
oct2157031542075540
9336151686272060
1078000054369120
1122942701263714
1288b8b24480600
13346a4b1955b30
1415393194186d2
15903e615ea730
hex46f0cd887b60

78000054369120 has 384 divisors, whose sum is σ = 299547390038400. Its totient is φ = 18837748260864.

The previous prime is 78000054369079. The next prime is 78000054369137. The reversal of 78000054369120 is 2196345000087.

78000054369120 is a `hidden beast` number, since 7 + 80 + 0 + 0 + 0 + 543 + 6 + 9 + 1 + 20 = 666.

It is a super-3 number, since 3×780000543691203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10126255 + ... + 16079214.

It is an arithmetic number, because the mean of its divisors is an integer number (780071328225).

It is a 1-persistent number, because it is pandigital, but 2⋅78000054369120 = 156000108738240 is not.

Almost surely, 278000054369120 is an apocalyptic number.

It is an amenable number.

78000054369120 is an abundant number, since it is smaller than the sum of its proper divisors (221547335669280).

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

78000054369120 is a wasteful number, since it uses less digits than its factorization.

78000054369120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26205559 (or 26205545 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 78000054369120 in words is "seventy-eight trillion, fifty-four million, three hundred sixty-nine thousand, one hundred twenty".