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190350005460 = 223519417951551
BaseRepresentation
bin1011000101000110111…
…1101001010011010100
3200012022211010011121020
42301101233221103110
511104314100133320
6223240125121140
716516023231066
oct2612157512324
9605284104536
10190350005460
11737aa6854aa
1230a839b91b0
1314c46cba534
1492da62b736
154e411a1940
hex2c51be94d4

190350005460 has 192 divisors, whose sum is σ = 582001459200. Its totient is φ = 46320768000.

The previous prime is 190350005423. The next prime is 190350005519. The reversal of 190350005460 is 64500053091.

It is a happy number.

190350005460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3666685 + ... + 3718235.

It is an arithmetic number, because the mean of its divisors is an integer number (3031257600).

Almost surely, 2190350005460 is an apocalyptic number.

190350005460 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 190350005460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291000729600).

190350005460 is an abundant number, since it is smaller than the sum of its proper divisors (391651453740).

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

190350005460 is a wasteful number, since it uses less digits than its factorization.

190350005460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51702 (or 51700 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 190350005460 in words is "one hundred ninety billion, three hundred fifty million, five thousand, four hundred sixty".