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1135927508401 = 74217512
BaseRepresentation
bin10000100001111010100…
…011100011110110110001
311000121000202000022000001
4100201322203203312301
5122102334420232101
62225500552430001
7145032225340000
oct20417243436661
94017022008001
101135927508401
113a88205128a4
121641979a8301
138316b20749a
143cd9cc50c37
151e834b93901
hex1087a8e3db1

1135927508401 has 15 divisors (see below), whose sum is σ = 1325230836153. Its totient is φ = 973607386500.

The previous prime is 1135927508389. The next prime is 1135927508423. The reversal of 1135927508401 is 1048057295311.

The square root of 1135927508401 is 1065799.

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

It is not a de Polignac number, because 1135927508401 - 27 = 1135927508273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1135927508431) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 52213276 + ... + 52235026.

Almost surely, 21135927508401 is an apocalyptic number.

1135927508401 is the 1065799-th square number.

1135927508401 is the 532900-th centered octagonal number.

It is an amenable number.

1135927508401 is a deficient number, since it is larger than the sum of its proper divisors (189303327752).

1135927508401 is an frugal number, since it uses more digits than its factorization.

1135927508401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43530 (or 21758 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 1135927508401 in words is "one trillion, one hundred thirty-five billion, nine hundred twenty-seven million, five hundred eight thousand, four hundred one".

Divisors: 1 7 49 343 2401 21751 152257 1065799 7460593 52224151 473106001 3311742007 23182194049 162275358343 1135927508401