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190420409376 = 2532661181977
BaseRepresentation
bin1011000101010111110…
…0001101110000100000
3200012111201121001121200
42301111330031300200
511104440111100001
6223251122121200
716520536526241
oct2612574156040
9605451531550
10190420409376
11738363a1a5a
1230aa34b0200
1314c5876ab62
149305b16cc8
154e4745c086
hex2c55f0dc20

190420409376 has 36 divisors (see below), whose sum is σ = 541508039982. Its totient is φ = 63473469696.

The previous prime is 190420409353. The next prime is 190420409393. The reversal of 190420409376 is 673904024091.

It is a happy number.

190420409376 is a `hidden beast` number, since 190 + 4 + 20 + 409 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 158942552976 + 31477856400 = 398676^2 + 177420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 330590701 + ... + 330591276.

Almost surely, 2190420409376 is an apocalyptic number.

190420409376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

190420409376 is an abundant number, since it is smaller than the sum of its proper divisors (351087630606).

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

190420409376 is a wasteful number, since it uses less digits than its factorization.

190420409376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661181993 (or 661181982 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 190420409376 in words is "one hundred ninety billion, four hundred twenty million, four hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 661181977 1322363954 1983545931 2644727908 3967091862 5289455816 5950637793 7934183724 10578911632 11901275586 15868367448 21157823264 23802551172 31736734896 47605102344 63473469792 95210204688 190420409376