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190904329476 = 22327210121032
BaseRepresentation
bin1011000111001011001…
…0001110010100000100
3200020202110011202012100
42301302302032110010
511111433002020401
6223411130152100
716535534012100
oct2616262162404
9606673152170
10190904329476
1173a64576323
1230bb9582630
1315004ab2c03
1493500c4900
154e74b9ab86
hex2c72c8e504

190904329476 has 243 divisors, whose sum is σ = 572520514293. Its totient is φ = 53479742400.

The previous prime is 190904329471. The next prime is 190904329481. The reversal of 190904329476 is 674923409091.

The square root of 190904329476 is 436926.

It is a perfect power (a square), and thus also a powerful number.

190904329476 is a `hidden beast` number, since 190 + 90 + 4 + 329 + 47 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (190904329471) and next prime (190904329481).

It can be written as a sum of positive squares in only one way, i.e., 183418619076 + 7485710400 = 428274^2 + 86520^2 .

It is not an unprimeable number, because it can be changed into a prime (190904329471) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1853440041 + ... + 1853440143.

Almost surely, 2190904329476 is an apocalyptic number.

190904329476 is the 436926-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190904329476

190904329476 is an abundant number, since it is smaller than the sum of its proper divisors (381616184817).

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

190904329476 is a wasteful number, since it uses less digits than its factorization.

190904329476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 190904329476 in words is "one hundred ninety billion, nine hundred four million, three hundred twenty-nine thousand, four hundred seventy-six".