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190376015041 = 4327321392
BaseRepresentation
bin1011000101001101001…
…0110111010011000001
3200012101122001121001001
42301103102313103001
511104342224440131
6223242454412001
716516460266552
oct2612322672301
9605348047031
10190376015041
117381332a923
1230a90661001
1314c4c4c6114
1492ddc7c329
154e435dd261
hex2c534b74c1

190376015041 has 27 divisors (see below), whose sum is σ = 199044753219. Its totient is φ = 182081989152.

The previous prime is 190376014987. The next prime is 190376015051. The reversal of 190376015041 is 140510673091.

It is a happy number.

The square root of 190376015041 is 436321.

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

It can be written as a sum of positive squares in only one way, i.e., 108066700225 + 82309314816 = 328735^2 + 286896^2 .

It is not a de Polignac number, because 190376015041 - 221 = 190373917889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (190376015051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1369611550 + ... + 1369611688.

It is an arithmetic number, because the mean of its divisors is an integer number (7372027897).

Almost surely, 2190376015041 is an apocalyptic number.

190376015041 is the 436321-st square number.

190376015041 is the 218161-st centered octagonal number.

It is an amenable number.

190376015041 is a deficient number, since it is larger than the sum of its proper divisors (8668738178).

190376015041 is an frugal number, since it uses more digits than its factorization.

190376015041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 190376015041 in words is "one hundred ninety billion, three hundred seventy-six million, fifteen thousand, forty-one".

Divisors: 1 43 73 139 1849 3139 5329 5977 10147 19321 134977 229147 257011 436321 740731 830803 1410433 9853321 18761803 31851433 35724529 60648619 102961609 1369611619 2607890617 4427349187 190376015041