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10505505540 = 2235702724917
BaseRepresentation
bin10011100100010110…
…10100101100000100
31000010010221222100210
421302023110230010
5133003402134130
64454241235420
7521223216015
oct116213245404
930103858323
1010505505540
1145010a1892
122052332b70
13cb564c48a
1471934d00c
154174625b0
hex2722d4b04

10505505540 has 48 divisors (see below), whose sum is σ = 29420782272. Its totient is φ = 2800957056.

The previous prime is 10505505539. The next prime is 10505505551. The reversal of 10505505540 is 4550550501.

It is a super-2 number, since 2×105055055402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10505505498 and 10505505507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409162 + ... + 434078.

It is an arithmetic number, because the mean of its divisors is an integer number (612932964).

Almost surely, 210505505540 is an apocalyptic number.

10505505540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505505540 is an abundant number, since it is smaller than the sum of its proper divisors (18915276732).

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

10505505540 is a wasteful number, since it uses less digits than its factorization.

10505505540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31956 (or 31954 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 30.

The spelling of 10505505540 in words is "ten billion, five hundred five million, five hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 7027 14054 21081 24917 28108 35135 42162 49834 70270 74751 84324 99668 105405 124585 140540 149502 210810 249170 299004 373755 421620 498340 747510 1495020 175091759 350183518 525275277 700367036 875458795 1050550554 1750917590 2101101108 2626376385 3501835180 5252752770 10505505540