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10505540432 = 245312388609
BaseRepresentation
bin10011100100010110…
…11101001101010000
31000010011000202020002
421302023131031100
5133003404243212
64454242105132
7521223422522
oct116213351520
930104022202
1010505540432
114501116022
12205234b1a8
13cb566231a
1471935ba12
1541746cac2
hex2722dd350

10505540432 has 20 divisors (see below), whose sum is σ = 20738533140. Its totient is φ = 5153660928.

The previous prime is 10505540393. The next prime is 10505540453. The reversal of 10505540432 is 23404550501.

It can be written as a sum of positive squares in 2 ways, for example, as 8347380496 + 2158159936 = 91364^2 + 46456^2 .

It is a super-2 number, since 2×105055404322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505540395 and 10505540404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6193457 + ... + 6195152.

It is an arithmetic number, because the mean of its divisors is an integer number (1036926657).

Almost surely, 210505540432 is an apocalyptic number.

It is an amenable number.

10505540432 is a deficient number, since it is larger than the sum of its proper divisors (10232992708).

10505540432 is a wasteful number, since it uses less digits than its factorization.

10505540432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12388670 (or 12388664 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 10505540432 in words is "ten billion, five hundred five million, five hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 53 106 212 424 848 12388609 24777218 49554436 99108872 198217744 656596277 1313192554 2626385108 5252770216 10505540432