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10105692930852 = 22319101438843709
BaseRepresentation
bin1001001100001110101000…
…1111001100001100100100
31022210002120010010110001220
42103003222033030030210
52311032424342241402
633254254035220340
72062053330416661
oct223035217141444
938702503113056
1010105692930852
113246889228352
1211726741476b0
13583c6922c3ac
1426d1922a8a68
15127d13d5bdbc
hex930ea3cc324

10105692930852 has 48 divisors (see below), whose sum is σ = 25066752715200. Its totient is φ = 3159674697600.

The previous prime is 10105692930811. The next prime is 10105692930869. The reversal of 10105692930852 is 25803929650101.

It is a happy number.

It is a super-2 number, since 2×101056929308522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105692930795 and 10105692930804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219398827 + ... + 219444882.

It is an arithmetic number, because the mean of its divisors is an integer number (522224014900).

Almost surely, 210105692930852 is an apocalyptic number.

10105692930852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10105692930852 is an abundant number, since it is smaller than the sum of its proper divisors (14961059784348).

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

10105692930852 is a wasteful number, since it uses less digits than its factorization.

10105692930852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438843836 (or 438843834 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 10105692930852 in words is "ten trillion, one hundred five billion, six hundred ninety-two million, nine hundred thirty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 1212 1919 3838 5757 7676 11514 23028 438843709 877687418 1316531127 1755374836 2633062254 5266124508 8338030471 16676060942 25014091413 33352121884 44323214609 50028182826 88646429218 100056365652 132969643827 177292858436 265939287654 531878575308 842141077571 1684282155142 2526423232713 3368564310284 5052846465426 10105692930852