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73370747040 = 253523291012269
BaseRepresentation
bin100010001010100111…
…1001100000010100000
321000101100000010112120
41010111033030002200
52200230402401130
653412301424240
75205124026333
oct1042517140240
9230340003476
1073370747040
1129130968228
121227786b080
136bc389a526
1437a056a61a
151d964da910
hex11153cc0a0

73370747040 has 384 divisors, whose sum is σ = 252063705600. Its totient is φ = 17882726400.

The previous prime is 73370747027. The next prime is 73370747057. The reversal of 73370747040 is 4074707337.

It is a junction number, because it is equal to n+sod(n) for n = 73370746983 and 73370747001.

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 63 ways as a sum of consecutive naturals, for example, 32335026 + ... + 32337294.

It is an arithmetic number, because the mean of its divisors is an integer number (656415900).

Almost surely, 273370747040 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 73370747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126031852800).

73370747040 is an abundant number, since it is smaller than the sum of its proper divisors (178692958560).

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

73370747040 is a wasteful number, since it uses less digits than its factorization.

73370747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 42.

The spelling of 73370747040 in words is "seventy-three billion, three hundred seventy million, seven hundred forty-seven thousand, forty".