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11674094080 = 295113143311
BaseRepresentation
bin10101101111101010…
…01000101000000000
31010010120212102110211
422313311020220000
5142402032002310
65210224203504
7562203106465
oct126765105000
933116772424
1011674094080
114a507a3740
122319769594
13114079639c
147ca62366c
15484d45c8a
hex2b7d48a00

11674094080 has 320 divisors, whose sum is σ = 32356786176. Its totient is φ = 3999744000.

The previous prime is 11674094009. The next prime is 11674094083. The reversal of 11674094080 is 8049047611.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11674094083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37537125 + ... + 37537435.

Almost surely, 211674094080 is an apocalyptic number.

11674094080 is a gapful number since it is divisible by the number (10) 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 11674094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16178393088).

11674094080 is an abundant number, since it is smaller than the sum of its proper divisors (20682692096).

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

11674094080 is a wasteful number, since it uses less digits than its factorization.

11674094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 11674094080 in words is "eleven billion, six hundred seventy-four million, ninety-four thousand, eighty".