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73994312448 = 2832741317353
BaseRepresentation
bin100010011101001100…
…1111001101100000000
321001222210100112110200
41010322121321230000
52203020020444243
653554214525200
75226435164310
oct1047231715400
9231883315420
1073994312448
1129420951141
1212410666800
136c92b27344
14381d2c9440
151dd1110ad3
hex113a679b00

73994312448 has 432 divisors, whose sum is σ = 251266107456. Its totient is φ = 20502282240.

The previous prime is 73994312429. The next prime is 73994312453. The reversal of 73994312448 is 84421349937.

73994312448 is a `hidden beast` number, since 7 + 399 + 4 + 3 + 1 + 244 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73994312394 and 73994312403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209615440 + ... + 209615792.

It is an arithmetic number, because the mean of its divisors is an integer number (581634508).

Almost surely, 273994312448 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 73994312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125633053728).

73994312448 is an abundant number, since it is smaller than the sum of its proper divisors (177271795008).

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

73994312448 is a wasteful number, since it uses less digits than its factorization.

73994312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 723 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 73994312448 in words is "seventy-three billion, nine hundred ninety-four million, three hundred twelve thousand, four hundred forty-eight".