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368520629481 = 3437218232
BaseRepresentation
bin1010101110011011000…
…10101000110011101001
31022020012211120122210000
411113031202220303221
522014212240120411
6441143540013213
735424166444404
oct5271542506351
91266184518700
10368520629481
1113231a319404
125b508991209
132899c927a94
1413b9d4a4d3b
1598bce9c956
hex55cd8a8ce9

368520629481 has 45 divisors (see below), whose sum is σ = 566097322791. Its totient is φ = 238909283568.

The previous prime is 368520629461. The next prime is 368520629483. The reversal of 368520629481 is 184926025863.

The square root of 368520629481 is 607059.

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

368520629481 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 2 + 0 + 629 + 4 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 329757320025 + 38763309456 = 574245^2 + 196884^2 .

It is not a de Polignac number, because 368520629481 - 231 = 366373145833 is a prime.

It is a super-2 number, since 2×3685206294812 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (368520629483) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 202149736 + ... + 202151558.

Almost surely, 2368520629481 is an apocalyptic number.

368520629481 is the 607059-th square number.

368520629481 is the 303530-th centered octagonal number.

It is an amenable number.

368520629481 is a deficient number, since it is larger than the sum of its proper divisors (197576693310).

368520629481 is an frugal number, since it uses more digits than its factorization.

368520629481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 368520 and 629481, that added together give a square (998001 = 9992).

The spelling of 368520629481 in words is "three hundred sixty-eight billion, five hundred twenty million, six hundred twenty-nine thousand, four hundred eighty-one".

Divisors: 1 3 9 27 37 81 111 333 999 1369 1823 2997 4107 5469 12321 16407 36963 49221 67451 110889 147663 202353 607059 1821177 2495687 3323329 5463531 7487061 9969987 22461183 29909961 67383549 89729883 122963173 202150647 269189649 368889519 1106668557 3320005671 4549637401 9960017013 13648912203 40946736609 122840209827 368520629481