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69230593152 = 273273241727
BaseRepresentation
bin100000001111001110…
…1110000010010000000
320121200210120112002200
41000132131300102000
52113241012440102
651445403513200
75000412222000
oct1003635602200
9217623515080
1069230593152
11273a6957346
1211501228800
1366b3c16726
1434ca772000
151c02ccd51c
hex101e770480

69230593152 has 384 divisors, whose sum is σ = 233609376000. Its totient is φ = 19670999040.

The previous prime is 69230593141. The next prime is 69230593153. The reversal of 69230593152 is 25139503296.

69230593152 is a `hidden beast` number, since 6 + 9 + 2 + 3 + 0 + 593 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 69230593098 and 69230593107.

It is not an unprimeable number, because it can be changed into a prime (69230593153) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 95227413 + ... + 95228139.

It is an arithmetic number, because the mean of its divisors is an integer number (608357750).

Almost surely, 269230593152 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 69230593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116804688000).

69230593152 is an abundant number, since it is smaller than the sum of its proper divisors (164378782848).

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

69230593152 is a wasteful number, since it uses less digits than its factorization.

69230593152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 69230593152 in words is "sixty-nine billion, two hundred thirty million, five hundred ninety-three thousand, one hundred fifty-two".