Search a number
-
+
355630245102 = 232113767724531
BaseRepresentation
bin1010010110011010011…
…01101110010011101110
31020222221111001021200100
411023031031232103232
521311312320320402
6431212502211530
734456564131006
oct5131515562356
91228844037610
10355630245102
11127905002880
1258b0ba23ba6
13276c71854c2
14132d9511006
1593b649e71c
hex52cd36e4ee

355630245102 has 96 divisors (see below), whose sum is σ = 876185241984. Its totient is φ = 103288996800.

The previous prime is 355630245067. The next prime is 355630245127. The reversal of 355630245102 is 201542036553.

355630245102 is a `hidden beast` number, since 3 + 5 + 5 + 630 + 2 + 4 + 5 + 10 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128577 + ... + 853107.

It is an arithmetic number, because the mean of its divisors is an integer number (9126929604).

Almost surely, 2355630245102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355630245102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438092620992).

355630245102 is an abundant number, since it is smaller than the sum of its proper divisors (520554996882).

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

355630245102 is a wasteful number, since it uses less digits than its factorization.

355630245102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724654 (or 724651 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 355630245102 in words is "three hundred fifty-five billion, six hundred thirty million, two hundred forty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 67 74 99 111 134 198 201 222 333 402 407 603 666 737 814 1206 1221 1474 2211 2442 2479 3663 4422 4958 6633 7326 7437 13266 14874 22311 27269 44622 54538 81807 163614 245421 490842 724531 1449062 2173593 4347186 6520779 7969841 13041558 15939682 23909523 26807647 47819046 48543577 53615294 71728569 80422941 97087154 143457138 145630731 160845882 241268823 291261462 294884117 436892193 482537646 533979347 589768234 873784386 884652351 1067958694 1601938041 1769304702 1796112349 2653957053 3203876082 3592224698 4805814123 5307914106 5388337047 9611628246 10776674094 16165011141 19757235839 32330022282 39514471678 59271707517 118543415034 177815122551 355630245102