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191354628481 = 31210321372
BaseRepresentation
bin1011001000110110011…
…1111110100110000001
3200021220211111022022021
42302031213332212001
511113343241102411
6223523533441441
716552642335142
oct2621547764601
9607824438267
10191354628481
1174175776665
1231104340281
1315077185a23
149393c1dac9
154e9e497a71
hex2c8d9fe981

191354628481 has 27 divisors (see below), whose sum is σ = 201132836163. Its totient is φ = 182045446560.

The previous prime is 191354628467. The next prime is 191354628499. The reversal of 191354628481 is 184826453191.

The square root of 191354628481 is 437441.

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., 112402620225 + 78952008256 = 335265^2 + 280984^2 .

It is not a de Polignac number, because 191354628481 - 29 = 191354627969 is a prime.

It is a super-2 number, since 2×1913546284812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (191354628461) 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, 1396749045 + ... + 1396749181.

Almost surely, 2191354628481 is an apocalyptic number.

191354628481 is the 437441-st square number.

191354628481 is the 218721-st centered octagonal number.

It is an amenable number.

191354628481 is a deficient number, since it is larger than the sum of its proper divisors (9778207682).

191354628481 is an frugal number, since it uses more digits than its factorization.

191354628481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The spelling of 191354628481 in words is "one hundred ninety-one billion, three hundred fifty-four million, six hundred twenty-eight thousand, four hundred eighty-one".

Divisors: 1 31 103 137 961 3193 4247 10609 14111 18769 98983 131657 328879 437441 581839 1453433 1933207 10195249 13560671 18037009 45056423 59929417 199120321 1396749113 1857811927 6172729951 191354628481