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73226961360 = 243557538117
BaseRepresentation
bin100010000110010101…
…0101100000111010000
321000000022110001200000
41010030222230013100
52144432100230420
653350123530000
75201426621160
oct1041452540720
9230008401600
1073226961360
112906778a993
1212237689900
136b9cb66047
14378941c5a0
151d88a87690
hex110caac1d0

73226961360 has 240 divisors, whose sum is σ = 291461928576. Its totient is φ = 16737560064.

The previous prime is 73226961359. The next prime is 73226961371. The reversal of 73226961360 is 6316962237.

73226961360 is a `hidden beast` number, since 7 + 3 + 2 + 26 + 9 + 613 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 132979 + ... + 405138.

Almost surely, 273226961360 is an apocalyptic number.

73226961360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73226961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145730964288).

73226961360 is an abundant number, since it is smaller than the sum of its proper divisors (218234967216).

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

73226961360 is a wasteful number, since it uses less digits than its factorization.

73226961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538152 (or 538134 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 73226961360 in words is "seventy-three billion, two hundred twenty-six million, nine hundred sixty-one thousand, three hundred sixty".