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745699667328 = 273271121922973
BaseRepresentation
bin10101101100111110010…
…10011110110110000000
32122021210002111000221100
422312133022132312000
544204143103323303
61330323015454400
7104606063406150
oct12663712366600
92567702430840
10745699667328
11268282027100
12100631387400
135541c301c05
1428140862760
15145e614e8a3
hexad9f29ed80

745699667328 has 1728 divisors, whose sum is σ = 2983342471200. Its totient is φ = 174739783680.

The previous prime is 745699667311. The next prime is 745699667333. The reversal of 745699667328 is 823766996547.

745699667328 is a `hidden beast` number, since 7 + 456 + 9 + 96 + 67 + 3 + 28 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (823011840) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10215063900 + ... + 10215063972.

Almost surely, 2745699667328 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 745699667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491671235600).

745699667328 is an abundant number, since it is smaller than the sum of its proper divisors (2237642803872).

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

745699667328 is a wasteful number, since it uses less digits than its factorization.

745699667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 745699667328 in words is "seven hundred forty-five billion, six hundred ninety-nine million, six hundred sixty-seven thousand, three hundred twenty-eight".