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186429695213476 = 22112132477412
BaseRepresentation
bin101010011000111010001011…
…110000100011111110100100
3220110002111122000001121200001
4222120322023300203332210
5143413431003433312401
61500300341502031044
754161046432660361
oct5230721360437644
9813074560047601
10186429695213476
1154447431810500
1218aab3a7878484
138004324b55a00
143407361505468
1516846e6a5b601
hexa98e8bc23fa4

186429695213476 has 81 divisors (see below), whose sum is σ = 388322800466979. Its totient is φ = 78220611268800.

The previous prime is 186429695213431. The next prime is 186429695213477. The reversal of 186429695213476 is 674312596924681.

The square root of 186429695213476 is 13653926.

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

186429695213476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 157989062196900 + 28440633016576 = 12569370^2 + 5332976^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 186429695213399 and 186429695213408.

It is not an unprimeable number, because it can be changed into a prime (186429695213477) 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, 3904998966 + ... + 3905046706.

Almost surely, 2186429695213476 is an apocalyptic number.

186429695213476 is the 13653926-th square number.

It is an amenable number.

186429695213476 is an abundant number, since it is smaller than the sum of its proper divisors (201893105253503).

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

186429695213476 is an frugal number, since it uses more digits than its factorization.

186429695213476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95534 (or 47767 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 73.

The spelling of 186429695213476 in words is "one hundred eighty-six trillion, four hundred twenty-nine billion, six hundred ninety-five million, two hundred thirteen thousand, four hundred seventy-six".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1573 1859 3146 3718 6292 7436 20449 40898 47741 81796 95482 190964 525151 620633 1050302 1241266 2100604 2482532 5776661 6826963 8068229 11553322 13653926 16136458 23106644 27307852 32272916 75096593 88750519 150193186 177501038 300386372 355002076 976255709 1952511418 2279203081 3905022836 4558406162 9116812324 25071233891 29629640053 50142467782 59259280106 100284935564 118518560212 275783572801 325926040583 385185320689 551567145602 651852081166 770370641378 1103134291204 1303704162332 1540741282756 3585186446413 4237038527579 7170372892826 8474077055158 14340745785652 16948154110316 46607423803369 93214847606738 186429695213476