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190239933312 = 2736111353269
BaseRepresentation
bin1011000100101100101…
…1110000001110000000
3200012001010222221000000
42301023023300032000
511104102410331222
6223221154000000
716513215516042
oct2611313601600
9605033887000
10190239933312
1173753534690
1230a52b76000
1314c2a25b3a0
1492c9b77a92
154e366ac9ac
hex2c4b2f0380

190239933312 has 896 divisors, whose sum is σ = 682695669600. Its totient is φ = 52015841280.

The previous prime is 190239933277. The next prime is 190239933313. The reversal of 190239933312 is 213339932091.

190239933312 is a `hidden beast` number, since 19 + 0 + 239 + 93 + 3 + 312 = 666.

It is a super-3 number, since 3×1902399333123 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190239933313) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 707211514 + ... + 707211782.

Almost surely, 2190239933312 is an apocalyptic number.

190239933312 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 190239933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341347834800).

190239933312 is an abundant number, since it is smaller than the sum of its proper divisors (492455736288).

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

190239933312 is a wasteful number, since it uses less digits than its factorization.

190239933312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 190239933312 in words is "one hundred ninety billion, two hundred thirty-nine million, nine hundred thirty-three thousand, three hundred twelve".