Search a number
-
+
10041545124 = 223213108719739
BaseRepresentation
bin10010101101000010…
…11101000110100100
3221220210221100022200
421112201131012210
5131031113420444
64340225054500
7503560503522
oct112641350644
927823840280
1010041545124
114293210526
121b42a87430
13c404a53a0
146b3899312
153db867969
hex25685d1a4

10041545124 has 72 divisors (see below), whose sum is σ = 27361850880. Its totient is φ = 3086707392.

The previous prime is 10041545099. The next prime is 10041545131. The reversal of 10041545124 is 42154514001.

10041545124 is a `hidden beast` number, since 100 + 4 + 1 + 545 + 12 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498847 + ... + 518585.

Almost surely, 210041545124 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 10041545124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680925440).

10041545124 is an abundant number, since it is smaller than the sum of its proper divisors (17320305756).

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

10041545124 is a wasteful number, since it uses less digits than its factorization.

10041545124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20849 (or 20844 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10041545124 in words is "ten billion, forty-one million, five hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1087 2174 3261 4348 6522 9783 13044 14131 19566 19739 28262 39132 39478 42393 56524 59217 78956 84786 118434 127179 169572 177651 236868 254358 256607 355302 508716 513214 710604 769821 1026428 1539642 2309463 3079284 4618926 9237852 21456293 42912586 64368879 85825172 128737758 193106637 257475516 278931809 386213274 557863618 772426548 836795427 1115727236 1673590854 2510386281 3347181708 5020772562 10041545124