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190232165952 = 263327121499
BaseRepresentation
bin1011000100101010111…
…0000111111001000000
3200012000121101022012000
42301022232013321000
511104043413302302
6223220315304000
716513062505503
oct2611256077100
9605017338160
10190232165952
117374a109984
1230a5044b000
1314c2876bb0a
1492c8b1513a
154e35b7631c
hex2c4ab87e40

190232165952 has 168 divisors, whose sum is σ = 561693060000. Its totient is φ = 63134588160.

The previous prime is 190232165933. The next prime is 190232166053. The reversal of 190232165952 is 259561232091.

190232165952 is a `hidden beast` number, since 19 + 0 + 2 + 32 + 16 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 190232165898 and 190232165907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126905299 + ... + 126906797.

Almost surely, 2190232165952 is an apocalyptic number.

190232165952 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 190232165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280846530000).

190232165952 is an abundant number, since it is smaller than the sum of its proper divisors (371460894048).

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

190232165952 is an equidigital number, since it uses as much as digits as its factorization.

190232165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 190232165952 in words is "one hundred ninety billion, two hundred thirty-two million, one hundred sixty-five thousand, nine hundred fifty-two".