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73383862656 = 27313312272089
BaseRepresentation
bin100010001011000000…
…1001110000110000000
321000102020200110210010
41010112001032012000
52200242232101111
653413450504520
75205343353306
oct1042601160600
9230366613703
1073383862656
1129138306185
1212280135140
136bc6510250
1437a21c2276
151d9772baa6
hex111604e180

73383862656 has 256 divisors, whose sum is σ = 217750579200. Its totient is φ = 21744599040.

The previous prime is 73383862639. The next prime is 73383862663. The reversal of 73383862656 is 65626838337.

It is a junction number, because it is equal to n+sod(n) for n = 73383862596 and 73383862605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35127660 + ... + 35129748.

It is an arithmetic number, because the mean of its divisors is an integer number (850588200).

Almost surely, 273383862656 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 73383862656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108875289600).

73383862656 is an abundant number, since it is smaller than the sum of its proper divisors (144366716544).

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

73383862656 is a wasteful number, since it uses less digits than its factorization.

73383862656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2365 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 57.

The spelling of 73383862656 in words is "seventy-three billion, three hundred eighty-three million, eight hundred sixty-two thousand, six hundred fifty-six".