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190463154048 = 27321753183499
BaseRepresentation
bin1011000101100001111…
…1010001011110000000
3200012121201000201021200
42301120133101132000
511110032031412143
6223255250221200
716521566045256
oct2613037213600
9605551021250
10190463154048
1173858537732
1230ab5884800
1314c64585a6b
14930b6825d6
154e4b0a21d3
hex2c587d1780

190463154048 has 192 divisors, whose sum is σ = 591270030000. Its totient is φ = 58625409024.

The previous prime is 190463154023. The next prime is 190463154061. The reversal of 190463154048 is 840451364091.

190463154048 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 63 + 1 + 540 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 190463153994 and 190463154012.

It is a congruent number.

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, 946203 + ... + 1129701.

Almost surely, 2190463154048 is an apocalyptic number.

190463154048 is a gapful number since it is divisible by the number (18) 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 190463154048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295635015000).

190463154048 is an abundant number, since it is smaller than the sum of its proper divisors (400806875952).

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

190463154048 is a wasteful number, since it uses less digits than its factorization.

190463154048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183589 (or 183574 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 190463154048 in words is "one hundred ninety billion, four hundred sixty-three million, one hundred fifty-four thousand, forty-eight".