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1086929268481 = 7217287612
BaseRepresentation
bin11111101000100100000…
…10000110111100000001
310211220112222011210212101
433310102002012330001
5120302012343042411
62151154534230401
7141346056225400
oct17642202067401
93756488153771
101086929268481
11389a67265a41
121567a24b5401
137b65cb6cb04
143a8715a9637
151d41822b8c1
hexfd12086f01

1086929268481 has 27 divisors (see below), whose sum is σ = 1343291188617. Its totient is φ = 876750416640.

The previous prime is 1086929268461. The next prime is 1086929268493. The reversal of 1086929268481 is 1848629296801.

The square root of 1086929268481 is 1042559.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43703993025 + 1043225275456 = 209055^2 + 1021384^2 .

It is not a de Polignac number, because 1086929268481 - 29 = 1086929267969 is a prime.

It is a super-2 number, since 2×10869292684812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1086929268461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124060141 + ... + 124068901.

Almost surely, 21086929268481 is an apocalyptic number.

1086929268481 is the 1042559-th square number.

1086929268481 is the 521280-th centered octagonal number.

It is an amenable number.

1086929268481 is a deficient number, since it is larger than the sum of its proper divisors (256361920136).

1086929268481 is an frugal number, since it uses more digits than its factorization.

1086929268481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17570 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 64.

Multiplying 1086929268481 by its sum of digits (64), we get a square (69563473182784 = 83404722).

The spelling of 1086929268481 in words is "one trillion, eighty-six billion, nine hundred twenty-nine million, two hundred sixty-eight thousand, four hundred eighty-one".

Divisors: 1 7 17 49 119 289 833 2023 8761 14161 61327 148937 429289 1042559 2531929 7297913 17723503 76755121 124064521 537285847 1304837057 3761000929 9133859399 22182229969 63937015793 155275609783 1086929268481