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74766053376 = 212367373
BaseRepresentation
bin100010110100001100…
…1110111000000000000
321010222120112001000000
41011220121313000000
52211110102202001
654202544000000
75254525653000
oct1055031670000
9233876461000
1074766053376
1129787540563
12125a7000000
137086994791
1438939ba000
151e28c54a86
hex1168677000

74766053376 has 728 divisors, whose sum is σ = 265001784800. Its totient is φ = 21069103104.

The previous prime is 74766053273. The next prime is 74766053407. The reversal of 74766053376 is 67335066747.

74766053376 is a `hidden beast` number, since 7 + 47 + 6 + 60 + 533 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1024192476 + ... + 1024192548.

Almost surely, 274766053376 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 74766053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132500892400).

74766053376 is an abundant number, since it is smaller than the sum of its proper divisors (190235731424).

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

74766053376 is an frugal number, since it uses more digits than its factorization.

74766053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 74766053376 in words is "seventy-four billion, seven hundred sixty-six million, fifty-three thousand, three hundred seventy-six".