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190734093648 = 243272937176347
BaseRepresentation
bin1011000110100010100…
…0110100110101010000
3200020022120211212112200
42301220220310311100
511111110411444043
6223342205323200
716531366021530
oct2615050646520
9606276755480
10190734093648
117398747265a
1230b70566500
1314ca874a457
14933564d4c0
154e64c707d3
hex2c68a34d50

190734093648 has 240 divisors, whose sum is σ = 648142385280. Its totient is φ = 51193949184.

The previous prime is 190734093601. The next prime is 190734093653. The reversal of 190734093648 is 846390437091.

It is a happy number.

190734093648 is a `hidden beast` number, since 190 + 7 + 3 + 409 + 3 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 190734093594 and 190734093603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993411 + ... + 1169757.

It is an arithmetic number, because the mean of its divisors is an integer number (2700593272).

Almost surely, 2190734093648 is an apocalyptic number.

190734093648 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 190734093648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324071192640).

190734093648 is an abundant number, since it is smaller than the sum of its proper divisors (457408291632).

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

190734093648 is a wasteful number, since it uses less digits than its factorization.

190734093648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176434 (or 176425 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 190734093648 in words is "one hundred ninety billion, seven hundred thirty-four million, ninety-three thousand, six hundred forty-eight".