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1957191146 = 237233113513
BaseRepresentation
bin111010010101000…
…0101110111101010
312001101210121111222
41310222011313222
513002020104041
6522113222042
766333564431
oct16452056752
95041717458
101957191146
11914868749
12467561922
13252639191
14147d14118
15b6c5874b
hex74a85dea

1957191146 has 16 divisors (see below), whose sum is σ = 3028099464. Its totient is φ = 948052224.

The previous prime is 1957191143. The next prime is 1957191199. The reversal of 1957191146 is 6411917591.

It can be written as a sum of positive squares in 4 ways, for example, as 1906282921 + 50908225 = 43661^2 + 7135^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1957191097 and 1957191106.

It is not an unprimeable number, because it can be changed into a prime (1957191143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39515 + ... + 73998.

Almost surely, 21957191146 is an apocalyptic number.

1957191146 is a deficient number, since it is larger than the sum of its proper divisors (1070908318).

1957191146 is a wasteful number, since it uses less digits than its factorization.

1957191146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113785.

The product of its digits is 68040, while the sum is 44.

The square root of 1957191146 is about 44240.1530964801. The cubic root of 1957191146 is about 1250.8668432073.

The spelling of 1957191146 in words is "one billion, nine hundred fifty-seven million, one hundred ninety-one thousand, one hundred forty-six".

Divisors: 1 2 37 74 233 466 8621 17242 113513 227026 4199981 8399962 26448529 52897058 978595573 1957191146