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190467142656 = 2103761731
BaseRepresentation
bin1011000101100010111…
…0011111010000000000
3200012121222112100121220
42301120232133100000
511110034042031111
6223255511515040
716521645000000
oct2613056372000
9605558470556
10190467142656
117385a8113aa
1230ab7088a80
1314c6535139b
14930c000000
154e4b5dde06
hex2c58b9f400

190467142656 has 616 divisors, whose sum is σ = 647343542016. Its totient is φ = 49565859840.

The previous prime is 190467142651. The next prime is 190467142699. The reversal of 190467142656 is 656241764091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 190467142599 and 190467142608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190467142651) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6144101361 + ... + 6144101391.

Almost surely, 2190467142656 is an apocalyptic number.

190467142656 is a gapful number since it is divisible by the number (16) 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 190467142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323671771008).

190467142656 is an abundant number, since it is smaller than the sum of its proper divisors (456876399360).

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

190467142656 is an frugal number, since it uses more digits than its factorization.

190467142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 190467142656 in words is "one hundred ninety billion, four hundred sixty-seven million, one hundred forty-two thousand, six hundred fifty-six".