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100006056048 = 24331131513041
BaseRepresentation
bin101110100100011010…
…0110101000001110000
3100120010121001000120210
41131020310311001300
53114303022243143
6113535300504120
710140146310423
oct1351064650160
9316117030523
10100006056048
11394598a20a8
121746b9ab040
139579b500c2
144ba9b999ba
152904a34033
hex1748d35070

100006056048 has 80 divisors (see below), whose sum is σ = 268719086592. Its totient is φ = 32013696000.

The previous prime is 100006056047. The next prime is 100006056083. The reversal of 100006056048 is 840650600001.

It is a super-2 number, since 2×1000060560482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100006056047) 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, 61593 + ... + 451448.

Almost surely, 2100006056048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100006056048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134359543296).

100006056048 is an abundant number, since it is smaller than the sum of its proper divisors (168713030544).

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

100006056048 is a wasteful number, since it uses less digits than its factorization.

100006056048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513214 (or 513208 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 100006056048 its reverse (840650600001), we get a palindrome (940656656049).

The spelling of 100006056048 in words is "one hundred billion, six million, fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 131 186 248 262 372 393 496 524 744 786 1048 1488 1572 2096 3144 4061 6288 8122 12183 16244 24366 32488 48732 64976 97464 194928 513041 1026082 1539123 2052164 3078246 4104328 6156492 8208656 12312984 15904271 24625968 31808542 47712813 63617084 67208371 95425626 127234168 134416742 190851252 201625113 254468336 268833484 381702504 403250226 537666968 763405008 806500452 1075333936 1613000904 2083459501 3226001808 4166919002 6250378503 8333838004 12500757006 16667676008 25001514012 33335352016 50003028024 100006056048