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929112204040 = 235401303719073
BaseRepresentation
bin11011000010100110110…
…01110010001100001000
310021211012102112021111121
431201103121302030020
5110210310211012130
61550454523005024
7124061160266656
oct15412331621410
93254172467447
10929112204040
11329041687659
12130099969774
13697cbc3b647
1432d7d96ddd6
151927d239d7a
hexd853672308

929112204040 has 64 divisors (see below), whose sum is σ = 2096515658160. Its totient is φ = 370576588800.

The previous prime is 929112203983. The next prime is 929112204067. The reversal of 929112204040 is 40402211929.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 581458101156 + 347654102884 = 762534^2 + 589622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 929112203987 and 929112204005.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48703944 + ... + 48723016.

Almost surely, 2929112204040 is an apocalyptic number.

It is an amenable number.

929112204040 is an abundant number, since it is smaller than the sum of its proper divisors (1167403454120).

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

929112204040 is a wasteful number, since it uses less digits than its factorization.

929112204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22522 (or 22518 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

Adding to 929112204040 its reverse (40402211929), we get a palindrome (969514415969).

The spelling of 929112204040 in words is "nine hundred twenty-nine billion, one hundred twelve million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 401 802 1604 2005 3037 3208 4010 6074 8020 12148 15185 16040 19073 24296 30370 38146 60740 76292 95365 121480 152584 190730 381460 762920 1217837 2435674 4871348 6089185 7648273 9742696 12178370 15296546 24356740 30593092 38241365 48713480 57924701 61186184 76482730 115849402 152965460 231698804 289623505 305930920 463397608 579247010 1158494020 2316988040 23227805101 46455610202 92911220404 116139025505 185822440808 232278051010 464556102020 929112204040