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10505655132 = 2237731713251
BaseRepresentation
bin10011100100010111…
…11001001101011100
31000010011020120120020
421302023321031130
5133003421431012
64454244352140
7521224411110
oct116213711534
930104216506
1010505655132
114501194215
1220523a5650
13cb56a25ab
1471938b740
15417491a8c
hex2722f935c

10505655132 has 48 divisors (see below), whose sum is σ = 28398865152. Its totient is φ = 2960496000.

The previous prime is 10505655107. The next prime is 10505655133. The reversal of 10505655132 is 23155650501.

It is a super-2 number, since 2×105056551322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505655093 and 10505655102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505655133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850494 + ... + 862757.

It is an arithmetic number, because the mean of its divisors is an integer number (591643024).

Almost surely, 210505655132 is an apocalyptic number.

10505655132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10505655132 is an abundant number, since it is smaller than the sum of its proper divisors (17893210020).

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

10505655132 is a wasteful number, since it uses less digits than its factorization.

10505655132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713338 (or 1713336 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10505655132 in words is "ten billion, five hundred five million, six hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 1713251 3426502 5139753 6853004 10279506 11992757 20559012 23985514 35978271 47971028 71956542 125067323 143913084 250134646 375201969 500269292 750403938 875471261 1500807876 1750942522 2626413783 3501885044 5252827566 10505655132