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13323550032 = 2435132373157
BaseRepresentation
bin11000110100010010…
…10011110101010000
31021101112121110200000
430122021103311100
5204241312100112
610042025530000
7651112210122
oct143211236520
937345543600
1013323550032
115717884381
1226ba043900
131344426a20
1490570d212
1552ea637dc
hex31a253d50

13323550032 has 480 divisors, whose sum is σ = 44329329408. Its totient is φ = 3842961408.

The previous prime is 13323550021. The next prime is 13323550049. The reversal of 13323550032 is 23005532331.

13323550032 is a `hidden beast` number, since 133 + 23 + 5 + 500 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13323549978 and 13323550005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84863298 + ... + 84863454.

Almost surely, 213323550032 is an apocalyptic number.

13323550032 is a gapful number since it is divisible by the number (12) 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 13323550032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22164664704).

13323550032 is an abundant number, since it is smaller than the sum of its proper divisors (31005779376).

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

13323550032 is a wasteful number, since it uses less digits than its factorization.

13323550032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 13323550032 in words is "thirteen billion, three hundred twenty-three million, five hundred fifty thousand, thirty-two".