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133773696 = 2732753313
BaseRepresentation
bin1111111100100…
…11100110000000
3100022201102000100
413332103212000
5233221224241
621135122400
73213025530
oct776234600
9308642010
10133773696
116956a181
1238973400
132193a344
1413aa34c0
15bb269b6
hex7f93980

133773696 has 192 divisors, whose sum is σ = 449673120. Its totient is φ = 37380096.

The previous prime is 133773677. The next prime is 133773701. The reversal of 133773696 is 696377331.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (428652) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427236 + ... + 427548.

Almost surely, 2133773696 is an apocalyptic number.

133773696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133773696 is the 6678-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133773696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224836560).

133773696 is an abundant number, since it is smaller than the sum of its proper divisors (315899424).

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

133773696 is a wasteful number, since it uses less digits than its factorization.

133773696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its digits is 428652, while the sum is 45.

The square root of 133773696 is about 11566.0579282658. The cubic root of 133773696 is about 511.4347603288.

The spelling of 133773696 in words is "one hundred thirty-three million, seven hundred seventy-three thousand, six hundred ninety-six".