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73364261376 = 293727113729
BaseRepresentation
bin100010001010011011…
…0011100101000000000
321000100212210121212210
41010110312130220000
52200222222331001
653411510422120
75205014634600
oct1042466345000
9230325717783
1073364261376
112912823847a
1212275661940
136bc2439463
14379d75cc00
151d95b58dd6
hex1114d9ca00

73364261376 has 240 divisors, whose sum is σ = 230575688640. Its totient is φ = 20664483840.

The previous prime is 73364261353. The next prime is 73364261401. The reversal of 73364261376 is 67316246337.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 5336880 + ... + 5350608.

It is an arithmetic number, because the mean of its divisors is an integer number (960732036).

Almost surely, 273364261376 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 73364261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115287844320).

73364261376 is an abundant number, since it is smaller than the sum of its proper divisors (157211427264).

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

73364261376 is a wasteful number, since it uses less digits than its factorization.

73364261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13835 (or 13812 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

The spelling of 73364261376 in words is "seventy-three billion, three hundred sixty-four million, two hundred sixty-one thousand, three hundred seventy-six".