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10535426532 = 2232292650737
BaseRepresentation
bin10011100111111010…
…11101100111100100
31000012020021010020200
421303331131213210
5133034032122112
64501230430500
7522035435151
oct116375354744
930166233220
1010535426532
114516a78984
122060362430
13cbb8c74c7
1471d2db228
15419dc2cdc
hex273f5d9e4

10535426532 has 18 divisors (see below), whose sum is σ = 26631217158. Its totient is φ = 3511808832.

The previous prime is 10535426497. The next prime is 10535426533. The reversal of 10535426532 is 23562453501.

10535426532 is a `hidden beast` number, since 1 + 0 + 53 + 54 + 26 + 532 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5274245376 + 5261181156 = 72624^2 + 72534^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105354265322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 292650737 = 10535426532 / (1 + 0 + 5 + 3 + 5 + 4 + 2 + 6 + 5 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (10535426533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146325333 + ... + 146325404.

Almost surely, 210535426532 is an apocalyptic number.

10535426532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10535426532 is an abundant number, since it is smaller than the sum of its proper divisors (16095790626).

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

10535426532 is a wasteful number, since it uses less digits than its factorization.

10535426532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292650747 (or 292650742 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 10535426532 in words is "ten billion, five hundred thirty-five million, four hundred twenty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 292650737 585301474 877952211 1170602948 1755904422 2633856633 3511808844 5267713266 10535426532