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190241412480 = 27335719235961
BaseRepresentation
bin1011000100101101000…
…1011001010110000000
3200012001020210002001000
42301023101121112000
511104103300144410
6223221245412000
716513234216350
oct2611321312600
9605036702030
10190241412480
1173754354a39
1230a5356a000
1314c2a658732
1492ca040b60
154e368a0dc0
hex2c4b459580

190241412480 has 2048 divisors, whose sum is σ = 874229760000. Its totient is φ = 38101155840.

The previous prime is 190241412479. The next prime is 190241412481. The reversal of 190241412480 is 84214142091.

190241412480 is a `hidden beast` number, since 19 + 0 + 24 + 141 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (190241412479) and next prime (190241412481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190241412481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3118711650 + ... + 3118711710.

It is an arithmetic number, because the mean of its divisors is an integer number (426870000).

Almost surely, 2190241412480 is an apocalyptic number.

190241412480 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 190241412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437114880000).

190241412480 is an abundant number, since it is smaller than the sum of its proper divisors (683988347520).

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

190241412480 is a wasteful number, since it uses less digits than its factorization.

190241412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 190241412480 in words is "one hundred ninety billion, two hundred forty-one million, four hundred twelve thousand, four hundred eighty".